Atkin-Lehner |
2+ 3- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
22914f |
Isogeny class |
Conductor |
22914 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
61886647406592 = 212 · 311 · 19 · 672 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3886263,-2947835939] |
[a1,a2,a3,a4,a6] |
Generators |
[-1846020825950:915687793231:1622234375] |
Generators of the group modulo torsion |
j |
8904157023754598397553/84892520448 |
j-invariant |
L |
2.5883178375815 |
L(r)(E,1)/r! |
Ω |
0.10752674586489 |
Real period |
R |
12.035693151328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7638g1 |
Quadratic twists by: -3 |