Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200dl |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
9400320000000000 = 221 · 33 · 510 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-301875,-63668750] |
[a1,a2,a3,a4,a6] |
Generators |
[1769:70272:1] |
Generators of the group modulo torsion |
j |
2816964675/8704 |
j-invariant |
L |
6.7598354172329 |
L(r)(E,1)/r! |
Ω |
0.20371520246446 |
Real period |
R |
4.14784668452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000303 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7650b1 61200cz2 61200dy1 |
Quadratic twists by: -4 -3 5 |