Atkin-Lehner |
2- 3+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
34608m |
Isogeny class |
Conductor |
34608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
953856 |
Modular degree for the optimal curve |
Δ |
-33621355435917312 = -1 · 221 · 33 · 78 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ -1 -2 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2629256,1641858288] |
[a1,a2,a3,a4,a6] |
j |
-490752533497730377609/8208338729472 |
j-invariant |
L |
2.7030691961561 |
L(r)(E,1)/r! |
Ω |
0.3378836495202 |
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 |
4326b1 103824br1 |
Quadratic twists by: -4 -3 |