Atkin-Lehner |
2- 3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22770bi |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
1397760 |
Modular degree for the optimal curve |
Δ |
-3.8388792152383E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ 4 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15172493,-22763222859] |
[a1,a2,a3,a4,a6] |
j |
-529867148566940437900681/526595228427755520 |
j-invariant |
L |
2.9831428268688 |
L(r)(E,1)/r! |
Ω |
0.038245420857292 |
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 |
7590e1 113850v1 |
Quadratic twists by: -3 5 |