Atkin-Lehner |
2+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35360c |
Isogeny class |
Conductor |
35360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
8840000 = 26 · 54 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 0 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-286,1764] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:50:1] [0:42:1] |
Generators of the group modulo torsion |
j |
40565745856/138125 |
j-invariant |
L |
6.1137043935522 |
L(r)(E,1)/r! |
Ω |
2.325617443761 |
Real period |
R |
2.6288521398707 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35360i1 70720l2 |
Quadratic twists by: -4 8 |