Atkin-Lehner |
2- 3+ 5+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
32430t |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
525277307086110720 = 216 · 33 · 5 · 233 · 474 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-222721,20421119] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:7024:1] |
Generators of the group modulo torsion |
j |
1221820303329079536529/525277307086110720 |
j-invariant |
L |
7.4798177133 |
L(r)(E,1)/r! |
Ω |
0.264306044212 |
Real period |
R |
1.7687397519607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97290p1 |
Quadratic twists by: -3 |