Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550bh |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2853599657146875000 = -1 · 23 · 38 · 58 · 77 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,231500,-68951000] |
[a1,a2,a3,a4,a6] |
Generators |
[645:18365:1] |
Generators of the group modulo torsion |
j |
746389464911/1552332600 |
j-invariant |
L |
3.3834060627409 |
L(r)(E,1)/r! |
Ω |
0.13243841243808 |
Real period |
R |
3.193376825858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016774 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110cz2 13650bc2 |
Quadratic twists by: 5 -7 |