Atkin-Lehner |
2- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75088bd |
Isogeny class |
Conductor |
75088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3447360 |
Modular degree for the optimal curve |
Δ |
-5.3488355917068E+21 |
Discriminant |
Eigenvalues |
2- 2 0 0 -3 13- 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4126832,-1404681792] |
[a1,a2,a3,a4,a6] |
j |
309512375/212992 |
j-invariant |
L |
3.8425459723588 |
L(r)(E,1)/r! |
Ω |
0.076850919498235 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9386k1 75088p1 |
Quadratic twists by: -4 -19 |