Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600bw |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3484800 |
Modular degree for the optimal curve |
Δ |
-3.33458678448E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 7 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-212333,-280299963] |
[a1,a2,a3,a4,a6] |
Generators |
[66876743528931868236613:6582407885697313868051764:6884927129890762471] |
Generators of the group modulo torsion |
j |
-5624320/177147 |
j-invariant |
L |
6.6939310717634 |
L(r)(E,1)/r! |
Ω |
0.090208910646676 |
Real period |
R |
37.102382812169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600ec1 117600hb1 2400p1 |
Quadratic twists by: -4 5 -7 |