Atkin-Lehner |
2- 3+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98394bi |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
495360 |
Modular degree for the optimal curve |
Δ |
-497911147989588 = -1 · 22 · 315 · 234 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 2 0 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17468,1386353] |
[a1,a2,a3,a4,a6] |
j |
-2106412734625/1779264468 |
j-invariant |
L |
3.8342315830169 |
L(r)(E,1)/r! |
Ω |
0.47927895665306 |
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 |
98394bj1 |
Quadratic twists by: -23 |