Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
13950cz |
Isogeny class |
Conductor |
13950 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-2542387500000 = -1 · 25 · 38 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -5 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-142430,20725197] |
[a1,a2,a3,a4,a6] |
Generators |
[269:1215:1] |
Generators of the group modulo torsion |
j |
-1122115892665/8928 |
j-invariant |
L |
6.6452371633131 |
L(r)(E,1)/r! |
Ω |
0.72942690416261 |
Real period |
R |
0.15183694499044 |
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 |
111600ft1 4650i1 13950v1 |
Quadratic twists by: -4 -3 5 |