Atkin-Lehner |
2+ 5+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
34760d |
Isogeny class |
Conductor |
34760 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
35200 |
Modular degree for the optimal curve |
Δ |
1017842320 = 24 · 5 · 115 · 79 |
Discriminant |
Eigenvalues |
2+ -3 5+ 2 11- -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-823,-8957] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:5:1] [-17:11:1] |
Generators of the group modulo torsion |
j |
3853037493504/63615145 |
j-invariant |
L |
5.5078454301774 |
L(r)(E,1)/r! |
Ω |
0.89224554126206 |
Real period |
R |
0.61730153589627 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69520f1 |
Quadratic twists by: -4 |