Atkin-Lehner |
2+ 7- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120176j |
Isogeny class |
Conductor |
120176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-57769083904 = -1 · 210 · 72 · 292 · 372 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 2 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,688,-9020] |
[a1,a2,a3,a4,a6] |
Generators |
[15:70:1] [40:290:1] |
Generators of the group modulo torsion |
j |
35120256188/56415121 |
j-invariant |
L |
9.9870303892684 |
L(r)(E,1)/r! |
Ω |
0.58729489412154 |
Real period |
R |
4.2512843589609 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993614 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60088g2 |
Quadratic twists by: -4 |