Atkin-Lehner |
2- 3- 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
79950cc |
Isogeny class |
Conductor |
79950 |
Conductor |
∏ cp |
1536 |
Product of Tamagawa factors cp |
deg |
6193152 |
Modular degree for the optimal curve |
Δ |
1.9387597437585E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4989588,-3730724208] |
[a1,a2,a3,a4,a6] |
Generators |
[-978:15114:1] |
Generators of the group modulo torsion |
j |
879220389965127940729/124080623600544000 |
j-invariant |
L |
13.597825687686 |
L(r)(E,1)/r! |
Ω |
0.10196284835529 |
Real period |
R |
0.34729320495517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15990a1 |
Quadratic twists by: 5 |