Atkin-Lehner |
2- 3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
7410r |
Isogeny class |
Conductor |
7410 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
2185297920 = 216 · 33 · 5 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-780,-8403] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:21:1] |
Generators of the group modulo torsion |
j |
52485860157121/2185297920 |
j-invariant |
L |
5.5008086594873 |
L(r)(E,1)/r! |
Ω |
0.90570699642194 |
Real period |
R |
1.5183742317379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59280ce1 22230q1 37050bc1 96330a1 |
Quadratic twists by: -4 -3 5 13 |