Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650cw |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-5613300 = -1 · 22 · 36 · 52 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 2 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,40,47] |
[a1,a2,a3,a4,a6] |
j |
397535/308 |
j-invariant |
L |
3.0870437779005 |
L(r)(E,1)/r! |
Ω |
1.5435218889562 |
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 |
3850a1 34650ch1 |
Quadratic twists by: -3 5 |