Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800js |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-5763483331200000000 = -1 · 213 · 37 · 58 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -1 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-598208,-212462412] |
[a1,a2,a3,a4,a6] |
Generators |
[1108:22050:1] |
Generators of the group modulo torsion |
j |
-125768785/30618 |
j-invariant |
L |
7.3984145195002 |
L(r)(E,1)/r! |
Ω |
0.08474456734928 |
Real period |
R |
0.51965787353833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000236 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350cb1 58800fn1 8400bu1 |
Quadratic twists by: -4 5 -7 |