Atkin-Lehner |
3- 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
98637m |
Isogeny class |
Conductor |
98637 |
Conductor |
∏ cp |
117 |
Product of Tamagawa factors cp |
deg |
17808336 |
Modular degree for the optimal curve |
Δ |
3.2778028336211E+23 |
Discriminant |
Eigenvalues |
0 3- -4 7+ 11- -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-79002275,-268895029945] |
[a1,a2,a3,a4,a6] |
Generators |
[-5423:8893:1] |
Generators of the group modulo torsion |
j |
9459282386466910928896/56858906901054357 |
j-invariant |
L |
3.8384428971918 |
L(r)(E,1)/r! |
Ω |
0.050657865260927 |
Real period |
R |
0.64762311380115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999422999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98637i1 |
Quadratic twists by: -7 |