Atkin-Lehner |
2- 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34476b |
Isogeny class |
Conductor |
34476 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
296208 |
Modular degree for the optimal curve |
Δ |
-3721198202032896 = -1 · 28 · 311 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 -3 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-274005,-55192671] |
[a1,a2,a3,a4,a6] |
j |
-1841198792704/3011499 |
j-invariant |
L |
0.10432472018706 |
L(r)(E,1)/r! |
Ω |
0.10432472020526 |
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 |
103428u1 204a1 |
Quadratic twists by: -3 13 |