Atkin-Lehner |
2+ 5+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61880c |
Isogeny class |
Conductor |
61880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11776 |
Modular degree for the optimal curve |
Δ |
-15470000 = -1 · 24 · 54 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 3 13- 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-91,416] |
[a1,a2,a3,a4,a6] |
Generators |
[11:25:1] |
Generators of the group modulo torsion |
j |
-5266130944/966875 |
j-invariant |
L |
4.449971027909 |
L(r)(E,1)/r! |
Ω |
2.1235053730992 |
Real period |
R |
0.52389448645809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000417 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123760a1 |
Quadratic twists by: -4 |