Atkin-Lehner |
5- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98735s |
Isogeny class |
Conductor |
98735 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
52800 |
Modular degree for the optimal curve |
Δ |
24190075 = 52 · 74 · 13 · 31 |
Discriminant |
Eigenvalues |
-1 -3 5- 7+ -6 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-132,564] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:23:1] [2:-19:1] |
Generators of the group modulo torsion |
j |
105187761/10075 |
j-invariant |
L |
4.4848538095332 |
L(r)(E,1)/r! |
Ω |
2.0711688842291 |
Real period |
R |
0.36089555057554 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001517 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98735g1 |
Quadratic twists by: -7 |