Atkin-Lehner |
2+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109120r |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
819200 |
Modular degree for the optimal curve |
Δ |
-9602560000000000 = -1 · 218 · 510 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 11- 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61665,7568225] |
[a1,a2,a3,a4,a6] |
j |
-98925223576249/36630859375 |
j-invariant |
L |
7.6961556515343 |
L(r)(E,1)/r! |
Ω |
0.38480779613506 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109120bh1 1705a1 |
Quadratic twists by: -4 8 |