Atkin-Lehner |
2- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
4810g |
Isogeny class |
Conductor |
4810 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
41600 |
Modular degree for the optimal curve |
Δ |
3732301414400000 = 226 · 55 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 -6 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-101881,-12209081] |
[a1,a2,a3,a4,a6] |
Generators |
[-209:200:1] |
Generators of the group modulo torsion |
j |
116950902015977207569/3732301414400000 |
j-invariant |
L |
6.7484017545619 |
L(r)(E,1)/r! |
Ω |
0.26774733078676 |
Real period |
R |
1.9387973943517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38480p1 43290x1 24050d1 62530e1 |
Quadratic twists by: -4 -3 5 13 |