Atkin-Lehner |
2+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
754a |
Isogeny class |
Conductor |
754 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
-3695354 = -1 · 2 · 133 · 292 |
Discriminant |
Eigenvalues |
2+ 1 3 -1 0 13- 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-377,2782] |
[a1,a2,a3,a4,a6] |
j |
-5903244155017/3695354 |
j-invariant |
L |
1.642581500116 |
L(r)(E,1)/r! |
Ω |
2.463872250174 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6032e1 24128f1 6786t1 18850o1 |
Quadratic twists by: -4 8 -3 5 |