Atkin-Lehner |
2- 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
91140b |
Isogeny class |
Conductor |
91140 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
296352 |
Modular degree for the optimal curve |
Δ |
-840646341024000 = -1 · 28 · 3 · 53 · 710 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8804,1355320] |
[a1,a2,a3,a4,a6] |
Generators |
[9:1198:1] |
Generators of the group modulo torsion |
j |
1043504/11625 |
j-invariant |
L |
5.7416323621079 |
L(r)(E,1)/r! |
Ω |
0.36920864912268 |
Real period |
R |
5.1837286493369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010428 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91140p1 |
Quadratic twists by: -7 |