Atkin-Lehner |
2+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75088m |
Isogeny class |
Conductor |
75088 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-812151808 = -1 · 210 · 133 · 192 |
Discriminant |
Eigenvalues |
2+ -2 0 0 -5 13- 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,32,1380] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:26:1] |
Generators of the group modulo torsion |
j |
9500/2197 |
j-invariant |
L |
3.6244581199178 |
L(r)(E,1)/r! |
Ω |
1.2288886486244 |
Real period |
R |
0.49156313221128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37544m1 75088c1 |
Quadratic twists by: -4 -19 |