Atkin-Lehner |
2- 5+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
122210n |
Isogeny class |
Conductor |
122210 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4193280 |
Modular degree for the optimal curve |
Δ |
-1.5376595867188E+20 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 11- -5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-310186,600171639] |
[a1,a2,a3,a4,a6] |
Generators |
[303:22959:1] |
Generators of the group modulo torsion |
j |
-1863091849086649/86796875000000 |
j-invariant |
L |
7.6673373837854 |
L(r)(E,1)/r! |
Ω |
0.15145629219065 |
Real period |
R |
4.218674392188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11110c1 |
Quadratic twists by: -11 |