Atkin-Lehner |
2+ 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35520j |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2841600000000 = 216 · 3 · 58 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10305,-390975] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:80:1] [131:700:1] |
Generators of the group modulo torsion |
j |
1846842725956/43359375 |
j-invariant |
L |
7.6873623921328 |
L(r)(E,1)/r! |
Ω |
0.47452064794082 |
Real period |
R |
2.0250336907078 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35520ct4 4440h3 106560bb4 |
Quadratic twists by: -4 8 -3 |