Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57498r |
Isogeny class |
Conductor |
57498 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
130650565495554048 = 216 · 3 · 7 · 377 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-138982,9749732] |
[a1,a2,a3,a4,a6] |
Generators |
[-10464:68206:27] |
Generators of the group modulo torsion |
j |
115714886617/50921472 |
j-invariant |
L |
13.460211576916 |
L(r)(E,1)/r! |
Ω |
0.29608080894281 |
Real period |
R |
2.8413297929146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999734 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1554c1 |
Quadratic twists by: 37 |