Atkin-Lehner |
2+ 3+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
98022b |
Isogeny class |
Conductor |
98022 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-881125247232 = -1 · 28 · 36 · 173 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 -3 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-655,45349] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:217:1] [-2:217:1] |
Generators of the group modulo torsion |
j |
-32416029625/916883712 |
j-invariant |
L |
7.036824956892 |
L(r)(E,1)/r! |
Ω |
0.74200362947777 |
Real period |
R |
2.3708862993829 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98022j1 |
Quadratic twists by: -31 |