Atkin-Lehner |
2- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
37312w |
Isogeny class |
Conductor |
37312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-420282368 = -1 · 216 · 112 · 53 |
Discriminant |
Eigenvalues |
2- -1 0 -2 11+ 3 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3233,-69695] |
[a1,a2,a3,a4,a6] |
Generators |
[69:176:1] |
Generators of the group modulo torsion |
j |
-57042062500/6413 |
j-invariant |
L |
4.2753447599853 |
L(r)(E,1)/r! |
Ω |
0.31655852216303 |
Real period |
R |
1.6882126292046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37312n1 9328d1 |
Quadratic twists by: -4 8 |