Atkin-Lehner |
2+ 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57498f |
Isogeny class |
Conductor |
57498 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
196992 |
Modular degree for the optimal curve |
Δ |
-15948555358344 = -1 · 23 · 3 · 7 · 377 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 2 4 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9611,406437] |
[a1,a2,a3,a4,a6] |
j |
-38272753/6216 |
j-invariant |
L |
2.6881364152366 |
L(r)(E,1)/r! |
Ω |
0.6720341037538 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1554j1 |
Quadratic twists by: 37 |