Atkin-Lehner |
2+ 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472bb |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1167360 |
Modular degree for the optimal curve |
Δ |
-86462681811618816 = -1 · 210 · 32 · 11 · 318 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3694069,-2734054309] |
[a1,a2,a3,a4,a6] |
Generators |
[15677789438677760975593086599967329414225182150815:-817082302407739814663095519780898678135523665061164:4064964650880189364832601552846036617804365521] |
Generators of the group modulo torsion |
j |
-5444260314792559771648/84436212706659 |
j-invariant |
L |
7.7276622205069 |
L(r)(E,1)/r! |
Ω |
0.054449374403399 |
Real period |
R |
70.961900897399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997776 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472bo1 4092a1 |
Quadratic twists by: -4 8 |