Atkin-Lehner |
2+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90650r |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
222092500 = 22 · 54 · 74 · 37 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ -4 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3700,85100] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:120:1] [20:-150:1] |
Generators of the group modulo torsion |
j |
3734565625/148 |
j-invariant |
L |
6.8520590473424 |
L(r)(E,1)/r! |
Ω |
1.6604192329418 |
Real period |
R |
0.2292613452756 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000233 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90650by1 90650bc1 |
Quadratic twists by: 5 -7 |