Atkin-Lehner |
2+ 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45120h |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1381168392192000 = -1 · 214 · 315 · 53 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 0 1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24015,1062225] |
[a1,a2,a3,a4,a6] |
j |
93483176565296/84299828625 |
j-invariant |
L |
1.8821515226706 |
L(r)(E,1)/r! |
Ω |
0.31369192043209 |
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 |
45120da1 2820e1 |
Quadratic twists by: -4 8 |