Atkin-Lehner |
2+ 3- 5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
20130i |
Isogeny class |
Conductor |
20130 |
Conductor |
∏ cp |
170 |
Product of Tamagawa factors cp |
deg |
14271840 |
Modular degree for the optimal curve |
Δ |
-7.4164823468484E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11- 3 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-69725818,-4149463998292] |
[a1,a2,a3,a4,a6] |
j |
-37489060518284694941164874521/7416482346848437500000000000 |
j-invariant |
L |
3.1674533340221 |
L(r)(E,1)/r! |
Ω |
0.018632078435424 |
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 |
60390bb1 100650br1 |
Quadratic twists by: -3 5 |