Atkin-Lehner |
2- 3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
61380h |
Isogeny class |
Conductor |
61380 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
494592 |
Modular degree for the optimal curve |
Δ |
1348287074640 = 24 · 313 · 5 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-360948,83467033] |
[a1,a2,a3,a4,a6] |
j |
445871918006910976/115593885 |
j-invariant |
L |
4.1055879901667 |
L(r)(E,1)/r! |
Ω |
0.68426466393699 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460o1 |
Quadratic twists by: -3 |