Atkin-Lehner |
2- 3- 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
121410y |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
35635200 |
Modular degree for the optimal curve |
Δ |
6.9496678453248E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -6 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-337941068,-2391077294769] |
[a1,a2,a3,a4,a6] |
Generators |
[-52097435:22176261:4913] |
Generators of the group modulo torsion |
j |
5854894843389311513024021881/9533152051200000000 |
j-invariant |
L |
7.6696293771711 |
L(r)(E,1)/r! |
Ω |
0.035211891432671 |
Real period |
R |
5.4453404299634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999163179 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470o1 |
Quadratic twists by: -3 |