Atkin-Lehner |
2- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
3364c |
Isogeny class |
Conductor |
3364 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-4415968335104 = -1 · 28 · 297 |
Discriminant |
Eigenvalues |
2- 3 3 4 1 -3 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4062871,-3152083138] |
[a1,a2,a3,a4,a6] |
j |
-48707390098512/29 |
j-invariant |
L |
5.2105956955412 |
L(r)(E,1)/r! |
Ω |
0.053169343832053 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13456k1 53824k1 30276l1 84100f1 |
Quadratic twists by: -4 8 -3 5 |