Atkin-Lehner |
2+ 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
35550d |
Isogeny class |
Conductor |
35550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-8532000000 = -1 · 28 · 33 · 56 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -3 -5 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1542,24116] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:226:1] [19:-47:1] |
Generators of the group modulo torsion |
j |
-961504803/20224 |
j-invariant |
L |
6.2358761338044 |
L(r)(E,1)/r! |
Ω |
1.3060436696627 |
Real period |
R |
0.59682883109646 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35550be1 1422e1 |
Quadratic twists by: -3 5 |