Atkin-Lehner |
2- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75088bi |
Isogeny class |
Conductor |
75088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-84463788032 = -1 · 213 · 134 · 192 |
Discriminant |
Eigenvalues |
2- -3 0 0 -3 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9595,362026] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:58:1] [55:-26:1] |
Generators of the group modulo torsion |
j |
-66068051625/57122 |
j-invariant |
L |
6.7495478140356 |
L(r)(E,1)/r! |
Ω |
1.07182196624 |
Real period |
R |
0.78715822528302 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998772 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9386l1 75088r1 |
Quadratic twists by: -4 -19 |