Atkin-Lehner |
3+ 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
74235a |
Isogeny class |
Conductor |
74235 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1279346706298828125 = 32 · 512 · 78 · 101 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11655998,15311998227] |
[a1,a2,a3,a4,a6] |
j |
1488620251706326585561/10874267578125 |
j-invariant |
L |
0.48725856341856 |
L(r)(E,1)/r! |
Ω |
0.24362929060928 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10605h3 |
Quadratic twists by: -7 |