Atkin-Lehner |
2+ 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59696a |
Isogeny class |
Conductor |
59696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
99334144 = 211 · 7 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ -1 1 7+ -2 13+ 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120,208] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:26:1] |
Generators of the group modulo torsion |
j |
94091762/48503 |
j-invariant |
L |
4.6672359647761 |
L(r)(E,1)/r! |
Ω |
1.6679942135673 |
Real period |
R |
0.69952820081924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29848c1 |
Quadratic twists by: -4 |