Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800gm |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
803538792000000000 = 212 · 315 · 59 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-826684500,9148666700000] |
[a1,a2,a3,a4,a6] |
Generators |
[-33086:530712:1] |
Generators of the group modulo torsion |
j |
10713357105862263488/137781 |
j-invariant |
L |
7.1130581755274 |
L(r)(E,1)/r! |
Ω |
0.14332623462266 |
Real period |
R |
6.203555629402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800hs2 50400ea1 33600bi2 100800hq2 |
Quadratic twists by: -4 8 -3 5 |