Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712b |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-9642188116288 = -1 · 26 · 74 · 137 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,169,149396] |
[a1,a2,a3,a4,a6] |
Generators |
[267280:12359646:125] |
Generators of the group modulo torsion |
j |
1728/31213 |
j-invariant |
L |
4.7848212890463 |
L(r)(E,1)/r! |
Ω |
0.57392417104195 |
Real period |
R |
8.3370269613404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002727 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75712ba1 37856a2 5824h1 |
Quadratic twists by: -4 8 13 |