Atkin-Lehner |
2+ 3+ 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29640d |
Isogeny class |
Conductor |
29640 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-25396441200 = -1 · 24 · 32 · 52 · 135 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -6 13- 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5036,139461] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:195:1] [38:-39:1] |
Generators of the group modulo torsion |
j |
-882972400647424/1587277575 |
j-invariant |
L |
6.0155657211295 |
L(r)(E,1)/r! |
Ω |
1.1932078446821 |
Real period |
R |
0.12603767541299 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59280s1 88920bt1 |
Quadratic twists by: -4 -3 |