Atkin-Lehner |
3- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98553z |
Isogeny class |
Conductor |
98553 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
732080954241 = 32 · 7 · 13 · 197 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -4 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-117152,-15443505] |
[a1,a2,a3,a4,a6] |
Generators |
[1402:50059:1] [21729:536953:27] |
Generators of the group modulo torsion |
j |
3779648905033/15561 |
j-invariant |
L |
9.8976257215684 |
L(r)(E,1)/r! |
Ω |
0.25805496292091 |
Real period |
R |
38.354719514244 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994729 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5187c1 |
Quadratic twists by: -19 |