Atkin-Lehner |
2+ 19- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
30704b |
Isogeny class |
Conductor |
30704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4512 |
Modular degree for the optimal curve |
Δ |
583376 = 24 · 192 · 101 |
Discriminant |
Eigenvalues |
2+ 2 2 -4 -4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27,50] |
[a1,a2,a3,a4,a6] |
j |
141150208/36461 |
j-invariant |
L |
1.3591128396313 |
L(r)(E,1)/r! |
Ω |
2.7182256792668 |
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 |
15352b1 122816h1 |
Quadratic twists by: -4 8 |