Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600ct |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
6115200 |
Modular degree for the optimal curve |
Δ |
-3.6028542912914E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 0 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3821592,-265926312] |
[a1,a2,a3,a4,a6] |
Generators |
[102:11178:1] |
Generators of the group modulo torsion |
j |
2731405432/1594323 |
j-invariant |
L |
7.5657301567324 |
L(r)(E,1)/r! |
Ω |
0.082793052166082 |
Real period |
R |
3.5146623320224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999866489 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600p1 4704t1 117600b1 |
Quadratic twists by: -4 5 -7 |