Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
93100f |
Isogeny class |
Conductor |
93100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
53089111250000 = 24 · 57 · 76 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9800,128625] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:475:1] |
Generators of the group modulo torsion |
j |
3538944/1805 |
j-invariant |
L |
4.9490654958685 |
L(r)(E,1)/r! |
Ω |
0.55673769694464 |
Real period |
R |
0.74078354559278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18620j1 1900c1 |
Quadratic twists by: 5 -7 |