Atkin-Lehner |
3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
49197n |
Isogeny class |
Conductor |
49197 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
503424 |
Modular degree for the optimal curve |
Δ |
-2031935135086107 = -1 · 33 · 238 · 312 |
Discriminant |
Eigenvalues |
0 3- 2 -3 6 -5 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-470457,-124377721] |
[a1,a2,a3,a4,a6] |
j |
-147048890368/25947 |
j-invariant |
L |
2.187490334966 |
L(r)(E,1)/r! |
Ω |
0.091145430589539 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49197o1 |
Quadratic twists by: -23 |