Atkin-Lehner |
2+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
37312d |
Isogeny class |
Conductor |
37312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-506249216 = -1 · 214 · 11 · 532 |
Discriminant |
Eigenvalues |
2+ 1 -3 -4 11+ 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14437,-672509] |
[a1,a2,a3,a4,a6] |
Generators |
[12378:485533:8] |
Generators of the group modulo torsion |
j |
-20312562936832/30899 |
j-invariant |
L |
2.9570745163126 |
L(r)(E,1)/r! |
Ω |
0.21776986076501 |
Real period |
R |
6.7894485167152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37312bc1 4664d1 |
Quadratic twists by: -4 8 |