Atkin-Lehner |
2- 7- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
76342bd |
Isogeny class |
Conductor |
76342 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-4825240126730469376 = -1 · 216 · 72 · 197 · 412 |
Discriminant |
Eigenvalues |
2- 2 1 7- -1 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4780805,4022855563] |
[a1,a2,a3,a4,a6] |
Generators |
[647:34332:1] |
Generators of the group modulo torsion |
j |
-246621382397539662157729/98474288300621824 |
j-invariant |
L |
14.788242904498 |
L(r)(E,1)/r! |
Ω |
0.23941466723114 |
Real period |
R |
0.27575144955225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000739 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76342k1 |
Quadratic twists by: -7 |