Atkin-Lehner |
2+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
107632b |
Isogeny class |
Conductor |
107632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-6361626385408 = -1 · 210 · 7 · 316 |
Discriminant |
Eigenvalues |
2+ 2 -4 7+ 0 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-320,-121264] |
[a1,a2,a3,a4,a6] |
j |
-4/7 |
j-invariant |
L |
2.7243083654631 |
L(r)(E,1)/r! |
Ω |
0.34053851917397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53816a1 112a1 |
Quadratic twists by: -4 -31 |