Atkin-Lehner |
2- 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
93800bd |
Isogeny class |
Conductor |
93800 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-1473738700000000 = -1 · 28 · 58 · 72 · 673 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -4 0 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6292,1839088] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:700:1] [-78:938:1] |
Generators of the group modulo torsion |
j |
275436080/14737387 |
j-invariant |
L |
7.3184472573189 |
L(r)(E,1)/r! |
Ω |
0.3635149273142 |
Real period |
R |
0.27961740537181 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000647 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93800f1 |
Quadratic twists by: 5 |