Atkin-Lehner |
2- 3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22230bl |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
7884800 |
Modular degree for the optimal curve |
Δ |
-7.6545034063508E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-252037328,1545892382387] |
[a1,a2,a3,a4,a6] |
j |
-2428794565340780295912448441/10500004672634880000000 |
j-invariant |
L |
3.2773839735071 |
L(r)(E,1)/r! |
Ω |
0.074485999397888 |
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 |
7410m1 111150bx1 |
Quadratic twists by: -3 5 |