Atkin-Lehner |
5- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98735r |
Isogeny class |
Conductor |
98735 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
370944 |
Modular degree for the optimal curve |
Δ |
-4498707992751245 = -1 · 5 · 78 · 132 · 314 |
Discriminant |
Eigenvalues |
1 -1 5- 7+ 0 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7767,3234526] |
[a1,a2,a3,a4,a6] |
j |
-8990558521/780375245 |
j-invariant |
L |
2.8689677927419 |
L(r)(E,1)/r! |
Ω |
0.35862098981734 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98735e1 |
Quadratic twists by: -7 |