Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240bg |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-2594233310312448000 = -1 · 214 · 32 · 53 · 73 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-283781,-96811875] |
[a1,a2,a3,a4,a6] |
Generators |
[1100:30345:1] |
Generators of the group modulo torsion |
j |
-154260682146128896/158339435443875 |
j-invariant |
L |
5.7653005536772 |
L(r)(E,1)/r! |
Ω |
0.099341000463194 |
Real period |
R |
1.3817966375878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028206 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114240im1 14280bb1 |
Quadratic twists by: -4 8 |