Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
90160dk |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-53036169200 = -1 · 24 · 52 · 78 · 23 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 6 5 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-637,12691] |
[a1,a2,a3,a4,a6] |
Generators |
[42:245:1] |
Generators of the group modulo torsion |
j |
-15185664/28175 |
j-invariant |
L |
4.9234937630005 |
L(r)(E,1)/r! |
Ω |
1.0011226999302 |
Real period |
R |
1.2294930906469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999986157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22540p1 12880u1 |
Quadratic twists by: -4 -7 |