Atkin-Lehner |
2- 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200cp |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-110700000000 = -1 · 28 · 33 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 1 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8333,-290463] |
[a1,a2,a3,a4,a6] |
j |
-640000000/1107 |
j-invariant |
L |
1.4988946125097 |
L(r)(E,1)/r! |
Ω |
0.24981576871553 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12300q1 49200dk1 |
Quadratic twists by: -4 5 |