Atkin-Lehner |
2+ 3- 5+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
120510j |
Isogeny class |
Conductor |
120510 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
13255390437120000 = 211 · 36 · 54 · 13 · 1033 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -3 13- 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1012695,-391960675] |
[a1,a2,a3,a4,a6] |
j |
157555084236760311921/18182977280000 |
j-invariant |
L |
1.8059869319916 |
L(r)(E,1)/r! |
Ω |
0.15049874403425 |
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 |
13390h1 |
Quadratic twists by: -3 |