Atkin-Lehner |
2- 5- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
58300o |
Isogeny class |
Conductor |
58300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
33840 |
Modular degree for the optimal curve |
Δ |
-3643750000 = -1 · 24 · 58 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 2 5- 2 11- 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-958,-11463] |
[a1,a2,a3,a4,a6] |
Generators |
[40104:229717:729] |
Generators of the group modulo torsion |
j |
-15573760/583 |
j-invariant |
L |
10.554536305161 |
L(r)(E,1)/r! |
Ω |
0.42809215816573 |
Real period |
R |
8.2182742695001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998831 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58300g1 |
Quadratic twists by: 5 |