Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
26400bc |
Isogeny class |
Conductor |
26400 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
-9.2603036592E+18 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11- 1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-218012333,-1239068120037] |
[a1,a2,a3,a4,a6] |
j |
-716220782494793351680/5787689787 |
j-invariant |
L |
2.8288621516623 |
L(r)(E,1)/r! |
Ω |
0.019644876053212 |
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 |
26400m1 52800fl1 79200el1 26400bk1 |
Quadratic twists by: -4 8 -3 5 |