Atkin-Lehner |
2- 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920dk |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-4643981475840 = -1 · 214 · 37 · 5 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,103682] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:272:1] [-1:322:1] |
Generators of the group modulo torsion |
j |
-1/1555260 |
j-invariant |
L |
11.622201178163 |
L(r)(E,1)/r! |
Ω |
0.61381234936355 |
Real period |
R |
2.3668066448987 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000522 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490i1 38640cc1 |
Quadratic twists by: -4 -3 |