Atkin-Lehner |
2+ 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30912l |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-387760128 = -1 · 214 · 3 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- -3 2 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-805,-8579] |
[a1,a2,a3,a4,a6] |
j |
-3525581824/23667 |
j-invariant |
L |
1.3437630968519 |
L(r)(E,1)/r! |
Ω |
0.44792103228475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30912ce1 3864f1 92736cr1 |
Quadratic twists by: -4 8 -3 |