Atkin-Lehner |
2- 3- 7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494bp |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
812043012094820352 = 222 · 310 · 73 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-479120,120179315] |
[a1,a2,a3,a4,a6] |
Generators |
[-579:14545:1] |
Generators of the group modulo torsion |
j |
16685077730939997625/1113913596837888 |
j-invariant |
L |
10.892498834996 |
L(r)(E,1)/r! |
Ω |
0.27732989608353 |
Real period |
R |
0.89264372436428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015629 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36498q1 |
Quadratic twists by: -3 |