Atkin-Lehner |
3- 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
49245s |
Isogeny class |
Conductor |
49245 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
605280 |
Modular degree for the optimal curve |
Δ |
801481118878125 = 313 · 55 · 74 · 67 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 3 2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-237176,44358605] |
[a1,a2,a3,a4,a6] |
j |
614533559071903744/333811378125 |
j-invariant |
L |
6.4570929143372 |
L(r)(E,1)/r! |
Ω |
0.49669945494514 |
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 |
49245p1 |
Quadratic twists by: -7 |