Atkin-Lehner |
2- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
71632l |
Isogeny class |
Conductor |
71632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-94506231660544 = -1 · 217 · 117 · 37 |
Discriminant |
Eigenvalues |
2- 0 -1 -4 11- -4 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53603,4799586] |
[a1,a2,a3,a4,a6] |
Generators |
[110:484:1] [143:242:1] |
Generators of the group modulo torsion |
j |
-2347334289/13024 |
j-invariant |
L |
8.3274958930642 |
L(r)(E,1)/r! |
Ω |
0.6043422761596 |
Real period |
R |
1.722429536548 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8954c1 6512d1 |
Quadratic twists by: -4 -11 |