Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950t |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
134948226609000000 = 26 · 34 · 56 · 78 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-390800,-92520000] |
[a1,a2,a3,a4,a6] |
Generators |
[-351:1425:1] |
Generators of the group modulo torsion |
j |
3590714269297/73410624 |
j-invariant |
L |
3.5311107043437 |
L(r)(E,1)/r! |
Ω |
0.19118355848662 |
Real period |
R |
2.3087175918253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998481416 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4998bl2 17850s2 |
Quadratic twists by: 5 -7 |