Atkin-Lehner |
2- 3+ 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7590s |
Isogeny class |
Conductor |
7590 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-327888000 = -1 · 27 · 34 · 53 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11+ 4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-650,6167] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:91:1] |
Generators of the group modulo torsion |
j |
-30374248413601/327888000 |
j-invariant |
L |
5.2606329894478 |
L(r)(E,1)/r! |
Ω |
1.7210833509213 |
Real period |
R |
0.072775770184736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60720dg1 22770q1 37950bd1 83490l1 |
Quadratic twists by: -4 -3 5 -11 |