Atkin-Lehner |
2+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103360r |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
458752 |
Modular degree for the optimal curve |
Δ |
-77802596162560 = -1 · 210 · 5 · 17 · 197 |
Discriminant |
Eigenvalues |
2+ -2 5+ -5 2 5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13281,721639] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:1083:1] |
Generators of the group modulo torsion |
j |
-253016466094336/75979097815 |
j-invariant |
L |
3.3394307437907 |
L(r)(E,1)/r! |
Ω |
0.57858128337555 |
Real period |
R |
0.82453676037686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999542634 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103360by1 12920o1 |
Quadratic twists by: -4 8 |