Atkin-Lehner |
2+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
34102f |
Isogeny class |
Conductor |
34102 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-549995391944894384 = -1 · 24 · 1712 · 59 |
Discriminant |
Eigenvalues |
2+ -1 3 1 0 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8809,-35675963] |
[a1,a2,a3,a4,a6] |
Generators |
[626098:11045807:1331] |
Generators of the group modulo torsion |
j |
3131359847/22785865136 |
j-invariant |
L |
3.8620274856005 |
L(r)(E,1)/r! |
Ω |
0.13496737893244 |
Real period |
R |
3.576815668487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2006c1 |
Quadratic twists by: 17 |