Atkin-Lehner |
2- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
12200i |
Isogeny class |
Conductor |
12200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
685440 |
Modular degree for the optimal curve |
Δ |
-2.1114907525E+21 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -6 -3 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1974325,-1935868250] |
[a1,a2,a3,a4,a6] |
j |
26596817194679118/65984086015625 |
j-invariant |
L |
1.3637417303237 |
L(r)(E,1)/r! |
Ω |
0.075763429462425 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24400c1 97600n1 109800p1 2440c1 |
Quadratic twists by: -4 8 -3 5 |