Atkin-Lehner |
2- 5+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
69520r |
Isogeny class |
Conductor |
69520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17377920 |
Modular degree for the optimal curve |
Δ |
-2.2298318612726E+20 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 11+ -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1748401456,-28138494535744] |
[a1,a2,a3,a4,a6] |
j |
-144306948371105049029627775409/54439254425600000 |
j-invariant |
L |
0.37355902856005 |
L(r)(E,1)/r! |
Ω |
0.011673719913561 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8690f1 |
Quadratic twists by: -4 |