Atkin-Lehner |
2+ 3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
124872h |
Isogeny class |
Conductor |
124872 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
960960 |
Modular degree for the optimal curve |
Δ |
-315435244988261376 = -1 · 210 · 37 · 116 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -3 11- -1 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48440,-27315396] |
[a1,a2,a3,a4,a6] |
Generators |
[24730:3888748:1] |
Generators of the group modulo torsion |
j |
-6929294404/173881809 |
j-invariant |
L |
5.226718163902 |
L(r)(E,1)/r! |
Ω |
0.13245833913261 |
Real period |
R |
6.5765561055002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999430236 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1032b1 |
Quadratic twists by: -11 |