Atkin-Lehner |
2- 3+ 5+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
34770r |
Isogeny class |
Conductor |
34770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
-458129520 = -1 · 24 · 34 · 5 · 19 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,79,-961] |
[a1,a2,a3,a4,a6] |
j |
54483042671/458129520 |
j-invariant |
L |
3.3042065190176 |
L(r)(E,1)/r! |
Ω |
0.82605162975182 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104310r1 |
Quadratic twists by: -3 |