Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
31800o |
Isogeny class |
Conductor |
31800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
238500000000 = 28 · 32 · 59 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1708,13088] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:126:1] |
Generators of the group modulo torsion |
j |
1102736/477 |
j-invariant |
L |
7.416669405317 |
L(r)(E,1)/r! |
Ω |
0.89209235764513 |
Real period |
R |
4.1568954950442 |
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 |
63600g1 95400bk1 31800v1 |
Quadratic twists by: -4 -3 5 |