Atkin-Lehner |
2+ 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350cx |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
499200 |
Modular degree for the optimal curve |
Δ |
-706511655092250 = -1 · 2 · 39 · 53 · 7 · 295 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35127,2847231] |
[a1,a2,a3,a4,a6] |
Generators |
[-171:2043:1] |
Generators of the group modulo torsion |
j |
-52603701832709/7753214322 |
j-invariant |
L |
5.7842088615575 |
L(r)(E,1)/r! |
Ω |
0.49124307596993 |
Real period |
R |
0.29436592272435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013769 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30450dg1 91350fk1 |
Quadratic twists by: -3 5 |