Atkin-Lehner |
3+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98553d |
Isogeny class |
Conductor |
98553 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
957600 |
Modular degree for the optimal curve |
Δ |
-91260479674728819 = -1 · 310 · 7 · 13 · 198 |
Discriminant |
Eigenvalues |
1 3+ 3 7+ 0 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26721,-14642532] |
[a1,a2,a3,a4,a6] |
j |
-124244857/5373459 |
j-invariant |
L |
3.5593358083714 |
L(r)(E,1)/r! |
Ω |
0.14830565445712 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98553u1 |
Quadratic twists by: -19 |