Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2574x |
Isogeny class |
Conductor |
2574 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-3287893669632 = -1 · 28 · 312 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3235,-51739] |
[a1,a2,a3,a4,a6] |
Generators |
[27:220:1] |
Generators of the group modulo torsion |
j |
5137417856375/4510142208 |
j-invariant |
L |
4.3193594937223 |
L(r)(E,1)/r! |
Ω |
0.43749823068009 |
Real period |
R |
0.41136923447361 |
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 |
20592bf1 82368s1 858b1 64350bn1 |
Quadratic twists by: -4 8 -3 5 |