Atkin-Lehner |
5+ 7+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
117845b |
Isogeny class |
Conductor |
117845 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46267200 |
Modular degree for the optimal curve |
Δ |
-4.8821532547807E+24 |
Discriminant |
Eigenvalues |
1 3 5+ 7+ -6 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,36613085,-63492188194] |
[a1,a2,a3,a4,a6] |
j |
941560773289332909111/846890162345703125 |
j-invariant |
L |
0.50684854953519 |
L(r)(E,1)/r! |
Ω |
0.042237541709697 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117845q1 |
Quadratic twists by: -7 |