Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
61380m |
Isogeny class |
Conductor |
61380 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
6781507920 = 24 · 36 · 5 · 112 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1908,31833] |
[a1,a2,a3,a4,a6] |
Generators |
[36:-99:1] |
Generators of the group modulo torsion |
j |
65858420736/581405 |
j-invariant |
L |
4.9072344477902 |
L(r)(E,1)/r! |
Ω |
1.3378954482075 |
Real period |
R |
0.61131264708546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999724 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6820a1 |
Quadratic twists by: -3 |