Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600hb |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
696960 |
Modular degree for the optimal curve |
Δ |
-2134135542067200 = -1 · 212 · 311 · 52 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -7 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8493,-2245797] |
[a1,a2,a3,a4,a6] |
j |
-5624320/177147 |
j-invariant |
L |
4.4376914568666 |
L(r)(E,1)/r! |
Ω |
0.20171325638217 |
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 |
117600fi1 117600bw1 2400t1 |
Quadratic twists by: -4 5 -7 |