Atkin-Lehner |
2- 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
58300i |
Isogeny class |
Conductor |
58300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-88178750000 = -1 · 24 · 57 · 113 · 53 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 11- 1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,967,8062] |
[a1,a2,a3,a4,a6] |
Generators |
[62:-550:1] [18:176:1] |
Generators of the group modulo torsion |
j |
399589376/352715 |
j-invariant |
L |
8.7860169944117 |
L(r)(E,1)/r! |
Ω |
0.70007743753515 |
Real period |
R |
1.0458387081374 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11660c1 |
Quadratic twists by: 5 |