Atkin-Lehner |
2+ 3- 5- 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
120870o |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-254283428520432000 = -1 · 27 · 38 · 53 · 173 · 793 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 3 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1485639,697770045] |
[a1,a2,a3,a4,a6] |
Generators |
[699:339:1] |
Generators of the group modulo torsion |
j |
-497434867054053506929/348811287408000 |
j-invariant |
L |
7.2884504855007 |
L(r)(E,1)/r! |
Ω |
0.30840579482588 |
Real period |
R |
1.969388632991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000117113 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
40290z2 |
Quadratic twists by: -3 |