Atkin-Lehner |
2+ 3- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
27846h |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
1399707258768 = 24 · 39 · 7 · 133 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -4 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-77652,-8309120] |
[a1,a2,a3,a4,a6] |
Generators |
[324:520:1] |
Generators of the group modulo torsion |
j |
71032527376098625/1920037392 |
j-invariant |
L |
3.1403912943914 |
L(r)(E,1)/r! |
Ω |
0.28599723564913 |
Real period |
R |
5.4902476369459 |
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 |
9282o1 |
Quadratic twists by: -3 |