Atkin-Lehner |
3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23925o |
Isogeny class |
Conductor |
23925 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
62400 |
Modular degree for the optimal curve |
Δ |
423042448125 = 3 · 54 · 11 · 295 |
Discriminant |
Eigenvalues |
2 3+ 5- 2 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8258,-284407] |
[a1,a2,a3,a4,a6] |
Generators |
[77420095290:1370529940987:226981000] |
Generators of the group modulo torsion |
j |
99660008550400/676867917 |
j-invariant |
L |
9.4197274766314 |
L(r)(E,1)/r! |
Ω |
0.50101900033456 |
Real period |
R |
18.801138220988 |
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 |
71775bu1 23925w2 |
Quadratic twists by: -3 5 |