Atkin-Lehner |
3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
74025b |
Isogeny class |
Conductor |
74025 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-357620919075 = -1 · 39 · 52 · 7 · 473 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ -3 -5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,270,28721] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:1265:8] [49:399:1] |
Generators of the group modulo torsion |
j |
4423680/726761 |
j-invariant |
L |
8.1362520424812 |
L(r)(E,1)/r! |
Ω |
0.73753246385616 |
Real period |
R |
1.8386200927445 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998737 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74025a1 74025k2 |
Quadratic twists by: -3 5 |