Atkin-Lehner |
3+ 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75075p |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
33177600 |
Modular degree for the optimal curve |
Δ |
6.9053039574623E+24 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1511741875,22622766079000] |
[a1,a2,a3,a4,a6] |
j |
24453251577297496719005713201/441939453277587890625 |
j-invariant |
L |
0.41221632214892 |
L(r)(E,1)/r! |
Ω |
0.068702714968431 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015t1 |
Quadratic twists by: 5 |