Atkin-Lehner |
2+ 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450z |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-1276776238359375000 = -1 · 23 · 39 · 510 · 132 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,140508,-50478584] |
[a1,a2,a3,a4,a6] |
Generators |
[275:2846:1] |
Generators of the group modulo torsion |
j |
43092089975/179344152 |
j-invariant |
L |
4.267527740272 |
L(r)(E,1)/r! |
Ω |
0.13773502110901 |
Real period |
R |
1.2909836165129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009723 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33150bh1 99450du1 |
Quadratic twists by: -3 5 |