Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15400s |
Isogeny class |
Conductor |
15400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-21128800000000 = -1 · 211 · 58 · 74 · 11 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11- -5 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,221088] |
[a1,a2,a3,a4,a6] |
j |
-1250/26411 |
j-invariant |
L |
1.0881821066434 |
L(r)(E,1)/r! |
Ω |
0.5440910533217 |
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 |
30800t1 123200cp1 15400f1 107800cl1 |
Quadratic twists by: -4 8 5 -7 |