Atkin-Lehner |
2+ 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
23850k |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33696 |
Modular degree for the optimal curve |
Δ |
-5341178880000 = -1 · 213 · 39 · 54 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 3 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-717,-111259] |
[a1,a2,a3,a4,a6] |
Generators |
[8345:41768:125] |
Generators of the group modulo torsion |
j |
-3316275/434176 |
j-invariant |
L |
4.1939833363347 |
L(r)(E,1)/r! |
Ω |
0.33908489995944 |
Real period |
R |
6.1842673277937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23850ca1 23850br1 |
Quadratic twists by: -3 5 |