Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4560h |
Isogeny class |
Conductor |
4560 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-290804515200000 = -1 · 210 · 314 · 55 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,13960,-515100] |
[a1,a2,a3,a4,a6] |
Generators |
[70:900:1] |
Generators of the group modulo torsion |
j |
293798043977756/283988784375 |
j-invariant |
L |
4.4469887008643 |
L(r)(E,1)/r! |
Ω |
0.29858642546481 |
Real period |
R |
0.21276389210746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2280f1 18240bx1 13680i1 22800b1 |
Quadratic twists by: -4 8 -3 5 |