Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
61152h |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-211341312 = -1 · 212 · 34 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 3 13- 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,47,673] |
[a1,a2,a3,a4,a6] |
Generators |
[7:36:1] |
Generators of the group modulo torsion |
j |
56000/1053 |
j-invariant |
L |
5.3445606500592 |
L(r)(E,1)/r! |
Ω |
1.3262860456796 |
Real period |
R |
1.0074298578653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000202 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61152bx1 122304cu1 61152o1 |
Quadratic twists by: -4 8 -7 |