Atkin-Lehner |
2+ 3- 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
38430x |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-18465246016238070 = -1 · 2 · 37 · 5 · 712 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,65781,741555] |
[a1,a2,a3,a4,a6] |
Generators |
[19:1404:1] [99:2817:1] |
Generators of the group modulo torsion |
j |
43181118162906191/25329555577830 |
j-invariant |
L |
7.0961356453254 |
L(r)(E,1)/r! |
Ω |
0.23487381900821 |
Real period |
R |
5.0354240383839 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810t4 |
Quadratic twists by: -3 |