Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850ed |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
416 |
Product of Tamagawa factors cp |
deg |
3194880 |
Modular degree for the optimal curve |
Δ |
8.0721543168E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10053755,-12190991253] |
[a1,a2,a3,a4,a6] |
Generators |
[-1941:3770:1] |
Generators of the group modulo torsion |
j |
266394205833287968827/1913399541760000 |
j-invariant |
L |
10.399684678527 |
L(r)(E,1)/r! |
Ω |
0.084821412808039 |
Real period |
R |
1.1789118425631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850p1 11970b1 |
Quadratic twists by: -3 5 |