Atkin-Lehner |
3+ 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75075v |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
5308416 |
Modular degree for the optimal curve |
Δ |
-2.4392427397297E+22 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5187787,5983763906] |
[a1,a2,a3,a4,a6] |
j |
988211925316565164151/1561115353427004375 |
j-invariant |
L |
0.97847596649383 |
L(r)(E,1)/r! |
Ω |
0.081539667714832 |
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 |
15015i1 |
Quadratic twists by: 5 |