Atkin-Lehner |
3+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
58029d |
Isogeny class |
Conductor |
58029 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
765600 |
Modular degree for the optimal curve |
Δ |
-64305175646897667 = -1 · 35 · 232 · 298 |
Discriminant |
Eigenvalues |
2 3+ 0 1 -2 6 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-284538,-59585263] |
[a1,a2,a3,a4,a6] |
Generators |
[318014740438485457815321690258037866:7061730560228915401558420936679534657:357570446192328206339466670973448] |
Generators of the group modulo torsion |
j |
-5092864000/128547 |
j-invariant |
L |
11.453791481274 |
L(r)(E,1)/r! |
Ω |
0.10320171507331 |
Real period |
R |
55.49225355963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58029h1 |
Quadratic twists by: 29 |