Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
34692q |
Isogeny class |
Conductor |
34692 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
-2399909715504 = -1 · 24 · 32 · 710 · 59 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 2 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51221,4445496] |
[a1,a2,a3,a4,a6] |
Generators |
[88:792:1] |
Generators of the group modulo torsion |
j |
-3288334336/531 |
j-invariant |
L |
6.3267029514613 |
L(r)(E,1)/r! |
Ω |
0.78988138755449 |
Real period |
R |
4.0048436709271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104076k1 34692b1 |
Quadratic twists by: -3 -7 |