Atkin-Lehner |
2- 3+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
35880j |
Isogeny class |
Conductor |
35880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1855688017416480000 = 28 · 310 · 54 · 135 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1237645196,-16758365699004] |
[a1,a2,a3,a4,a6] |
Generators |
[-1956299505760058636:1003072387072950:96317544924719] |
Generators of the group modulo torsion |
j |
818977986588351710338379863504/7248781318033125 |
j-invariant |
L |
4.186143301612 |
L(r)(E,1)/r! |
Ω |
0.025453676168163 |
Real period |
R |
20.557655768243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71760j2 107640l2 |
Quadratic twists by: -4 -3 |