Atkin-Lehner |
2- 3+ 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
113520bb |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
-2485771960320000000 = -1 · 223 · 36 · 57 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11+ -5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,231760,-62606400] |
[a1,a2,a3,a4,a6] |
Generators |
[245:2970:1] [520:-14080:1] |
Generators of the group modulo torsion |
j |
336106829245202639/606877920000000 |
j-invariant |
L |
11.003092054282 |
L(r)(E,1)/r! |
Ω |
0.13490316896933 |
Real period |
R |
0.72824007089165 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000822 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14190p1 |
Quadratic twists by: -4 |