Atkin-Lehner |
2+ 3- 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
53592h |
Isogeny class |
Conductor |
53592 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-6894392494488576 = -1 · 210 · 3 · 73 · 11 · 296 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61264,-7093264] |
[a1,a2,a3,a4,a6] |
Generators |
[735014588:-21705326109:778688] |
Generators of the group modulo torsion |
j |
-24834012271113028/6732805170399 |
j-invariant |
L |
5.1842560161367 |
L(r)(E,1)/r! |
Ω |
0.14961481925045 |
Real period |
R |
11.55022842893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000095 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107184s1 |
Quadratic twists by: -4 |