Atkin-Lehner |
2- 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
76296i |
Isogeny class |
Conductor |
76296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3002204860968158208 = -1 · 210 · 310 · 112 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11+ -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-152688,86520060] |
[a1,a2,a3,a4,a6] |
Generators |
[-266:10404:1] [278:8092:1] |
Generators of the group modulo torsion |
j |
-15927506500/121463793 |
j-invariant |
L |
9.0067324185357 |
L(r)(E,1)/r! |
Ω |
0.2174558511337 |
Real period |
R |
5.1773339114199 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000051 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4488i2 |
Quadratic twists by: 17 |