Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57498j |
Isogeny class |
Conductor |
57498 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
-57159622404304896 = -1 · 212 · 3 · 72 · 377 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-201272,-36626170] |
[a1,a2,a3,a4,a6] |
Generators |
[379511624121945:-6783692337674581:559679941521] |
Generators of the group modulo torsion |
j |
-351447414193/22278144 |
j-invariant |
L |
5.1204168444131 |
L(r)(E,1)/r! |
Ω |
0.11228835922691 |
Real period |
R |
22.800301294388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999924 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1554m1 |
Quadratic twists by: 37 |