Atkin-Lehner |
2- 5+ 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
119350bu |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
700 |
Product of Tamagawa factors cp |
deg |
4166400 |
Modular degree for the optimal curve |
Δ |
-7.3033158787614E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- -7 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1058635,-586952613] |
[a1,a2,a3,a4,a6] |
Generators |
[16275:2063778:1] |
Generators of the group modulo torsion |
j |
-5248341230537091679785/2921326351504540672 |
j-invariant |
L |
9.155188930031 |
L(r)(E,1)/r! |
Ω |
0.072543743426056 |
Real period |
R |
0.18028903324017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999968429 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119350r1 |
Quadratic twists by: 5 |