Atkin-Lehner |
2+ 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210q |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
10869120 |
Modular degree for the optimal curve |
Δ |
4.3210083182204E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 0 -3 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6581724,6423399530] |
[a1,a2,a3,a4,a6] |
j |
456076467/6250 |
j-invariant |
L |
1.6796922636984 |
L(r)(E,1)/r! |
Ω |
0.16796930565696 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210cg1 123210cf1 |
Quadratic twists by: -3 37 |