Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19350q |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
205148160 |
Modular degree for the optimal curve |
Δ |
-5.6533497831016E+34 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -4 3 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,27051739308,11310686524075216] |
[a1,a2,a3,a4,a6] |
j |
192203697666261893287480365959/4963160303408775168000000000 |
j-invariant |
L |
1.6421846268479 |
L(r)(E,1)/r! |
Ω |
0.0083784929941221 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6450x1 3870u1 |
Quadratic twists by: -3 5 |