Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55860q |
Isogeny class |
Conductor |
55860 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-53625600 = -1 · 28 · 32 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 1 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,75,225] |
[a1,a2,a3,a4,a6] |
Generators |
[0:15:1] |
Generators of the group modulo torsion |
j |
3670016/4275 |
j-invariant |
L |
5.3989614778696 |
L(r)(E,1)/r! |
Ω |
1.329629365304 |
Real period |
R |
1.0151252707603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55860s1 |
Quadratic twists by: -7 |