Atkin-Lehner |
2+ 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22770g |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-2107450936800000000 = -1 · 211 · 39 · 58 · 11 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11+ -3 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5672115,-5198600075] |
[a1,a2,a3,a4,a6] |
j |
-27684157359106812821041/2890879200000000 |
j-invariant |
L |
0.19565482798868 |
L(r)(E,1)/r! |
Ω |
0.048913706997174 |
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 |
7590w1 113850ei1 |
Quadratic twists by: -3 5 |