Atkin-Lehner |
2+ 3- 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
113520p |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1376256 |
Modular degree for the optimal curve |
Δ |
1374444786008250000 = 24 · 38 · 56 · 117 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- -4 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-325916,-44235741] |
[a1,a2,a3,a4,a6] |
Generators |
[-9404:45375:64] [-263:4833:1] |
Generators of the group modulo torsion |
j |
239288653920542911744/85902799125515625 |
j-invariant |
L |
13.045530166594 |
L(r)(E,1)/r! |
Ω |
0.20576915314223 |
Real period |
R |
0.56606126890544 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988606 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56760a1 |
Quadratic twists by: -4 |