Atkin-Lehner |
2+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
37312q |
Isogeny class |
Conductor |
37312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-506249216 = -1 · 214 · 11 · 532 |
Discriminant |
Eigenvalues |
2+ 1 -3 -4 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-517,-4829] |
[a1,a2,a3,a4,a6] |
Generators |
[102:1007:1] |
Generators of the group modulo torsion |
j |
-934577152/30899 |
j-invariant |
L |
2.7619515731194 |
L(r)(E,1)/r! |
Ω |
0.49955453712114 |
Real period |
R |
2.7644144611672 |
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 |
37312x1 4664b1 |
Quadratic twists by: -4 8 |