Atkin-Lehner |
3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
75615f |
Isogeny class |
Conductor |
75615 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
298365416796016755 = 38 · 5 · 717 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9552800,-11368287970] |
[a1,a2,a3,a4,a6] |
Generators |
[8734852770:1378794182599:343000] |
Generators of the group modulo torsion |
j |
752602538173681/2329155 |
j-invariant |
L |
1.4180209178916 |
L(r)(E,1)/r! |
Ω |
0.085875042252641 |
Real period |
R |
16.512608109799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999912646 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1065b4 |
Quadratic twists by: -71 |