Atkin-Lehner |
5+ 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98735c |
Isogeny class |
Conductor |
98735 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-1154793470563171075 = -1 · 52 · 714 · 133 · 31 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- 3 13+ 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-21184431,-37536644694] |
[a1,a2,a3,a4,a6] |
j |
-8936879525486904180736/9815582542675 |
j-invariant |
L |
1.2666826629292 |
L(r)(E,1)/r! |
Ω |
0.03518562969923 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14105f1 |
Quadratic twists by: -7 |