Atkin-Lehner |
3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55545x |
Isogeny class |
Conductor |
55545 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
531461503125 = 38 · 55 · 72 · 232 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ -5 -4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4730,118634] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:262:1] [1:337:1] |
Generators of the group modulo torsion |
j |
22128056725504/1004653125 |
j-invariant |
L |
6.0029951698717 |
L(r)(E,1)/r! |
Ω |
0.91558699465575 |
Real period |
R |
0.081955554263509 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55545p1 |
Quadratic twists by: -23 |