Atkin-Lehner |
2+ 3+ 7- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
37506f |
Isogeny class |
Conductor |
37506 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
-375439260672 = -1 · 210 · 32 · 74 · 192 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 2 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1214,-34188] |
[a1,a2,a3,a4,a6] |
Generators |
[51:174:1] |
Generators of the group modulo torsion |
j |
-198124698564073/375439260672 |
j-invariant |
L |
4.2408391022789 |
L(r)(E,1)/r! |
Ω |
0.38071043034908 |
Real period |
R |
1.392409678135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112518bo1 |
Quadratic twists by: -3 |