Atkin-Lehner |
2+ 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22770p |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110880 |
Modular degree for the optimal curve |
Δ |
-678728160000000 = -1 · 211 · 36 · 57 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- -4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-57375,-5421875] |
[a1,a2,a3,a4,a6] |
j |
-28652896908918001/931040000000 |
j-invariant |
L |
0.30788512706166 |
L(r)(E,1)/r! |
Ω |
0.15394256353083 |
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 |
2530k1 113850eo1 |
Quadratic twists by: -3 5 |