Atkin-Lehner |
2- 5- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
57040m |
Isogeny class |
Conductor |
57040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-1768240 = -1 · 24 · 5 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 0 5- 4 -4 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28,-29] |
[a1,a2,a3,a4,a6] |
Generators |
[76620:513737:1728] |
Generators of the group modulo torsion |
j |
151732224/110515 |
j-invariant |
L |
6.5558186791258 |
L(r)(E,1)/r! |
Ω |
1.486846637278 |
Real period |
R |
8.8184194854046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000206 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14260e1 |
Quadratic twists by: -4 |