Atkin-Lehner |
2+ 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
23310w |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-795797581824000000 = -1 · 218 · 37 · 56 · 74 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9407979,-11104625147] |
[a1,a2,a3,a4,a6] |
j |
-126323813482515646120369/1091629056000000 |
j-invariant |
L |
2.0688856352808 |
L(r)(E,1)/r! |
Ω |
0.043101784068349 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7770m1 116550ef1 |
Quadratic twists by: -3 5 |