Atkin-Lehner |
2+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
90650bl |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
4532500 = 22 · 54 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-550,-5200] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:8:1] [31:78:1] |
Generators of the group modulo torsion |
j |
602516425/148 |
j-invariant |
L |
6.8818114414516 |
L(r)(E,1)/r! |
Ω |
0.98562682935037 |
Real period |
R |
3.4910836619033 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000137 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90650ca1 90650v1 |
Quadratic twists by: 5 -7 |