Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
115320i |
Isogeny class |
Conductor |
115320 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
46425600 |
Modular degree for the optimal curve |
Δ |
-4.3513081519554E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 -3 -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,59989144,-262167136656] |
[a1,a2,a3,a4,a6] |
Generators |
[196682:32073375:8] [87787:26106462:1] |
Generators of the group modulo torsion |
j |
13668416269102/24911296875 |
j-invariant |
L |
10.936161487953 |
L(r)(E,1)/r! |
Ω |
0.033590702344536 |
Real period |
R |
4.1739882990929 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001362 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115320e1 |
Quadratic twists by: -31 |