Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600fi |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
2 |
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] |
Generators |
[23:1436:1] |
Generators of the group modulo torsion |
j |
-5624320/177147 |
j-invariant |
L |
3.3155710090066 |
L(r)(E,1)/r! |
Ω |
0.38693384183473 |
Real period |
R |
4.2844159313188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999287013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600hb1 117600ec1 2400bd1 |
Quadratic twists by: -4 5 -7 |