Atkin-Lehner |
5+ 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98735h |
Isogeny class |
Conductor |
98735 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-1395380891051875 = -1 · 54 · 78 · 13 · 313 |
Discriminant |
Eigenvalues |
2 0 5+ 7- 3 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-903413,330509569] |
[a1,a2,a3,a4,a6] |
j |
-693097734329266176/11860541875 |
j-invariant |
L |
1.763029737744 |
L(r)(E,1)/r! |
Ω |
0.440757410135 |
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 |
14105c1 |
Quadratic twists by: -7 |