Atkin-Lehner |
2- 3- 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
122760bv |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-6935633100000000 = -1 · 28 · 38 · 58 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-173847,28185914] |
[a1,a2,a3,a4,a6] |
Generators |
[-455:3618:1] [643:13500:1] |
Generators of the group modulo torsion |
j |
-3113564167061584/37163671875 |
j-invariant |
L |
11.171539624815 |
L(r)(E,1)/r! |
Ω |
0.42185628264201 |
Real period |
R |
0.41377908513467 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999970102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920f2 |
Quadratic twists by: -3 |