Atkin-Lehner |
2+ 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37570d |
Isogeny class |
Conductor |
37570 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-284628877312000 = -1 · 221 · 53 · 13 · 174 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 0 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,15166,378132] |
[a1,a2,a3,a4,a6] |
Generators |
[1396:53555:64] |
Generators of the group modulo torsion |
j |
4619365699751/3407872000 |
j-invariant |
L |
2.7154564514352 |
L(r)(E,1)/r! |
Ω |
0.34968678297058 |
Real period |
R |
7.7653963022801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37570e2 |
Quadratic twists by: 17 |