Atkin-Lehner |
2- 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35520cj |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-709689600000000 = -1 · 214 · 34 · 58 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29105,2310897] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:1800:1] [-111:2040:1] |
Generators of the group modulo torsion |
j |
-166426126492624/43316015625 |
j-invariant |
L |
7.0789546101501 |
L(r)(E,1)/r! |
Ω |
0.48332324878059 |
Real period |
R |
0.45770058056449 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35520bm2 8880y2 106560fh2 |
Quadratic twists by: -4 8 -3 |