Atkin-Lehner |
2+ 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60648f |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1991569480685568 = -1 · 211 · 310 · 74 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 2 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-74600,-8106324] |
[a1,a2,a3,a4,a6] |
Generators |
[26200893:-1910636028:4913] |
Generators of the group modulo torsion |
j |
-3268550964278/141776649 |
j-invariant |
L |
3.5532658963307 |
L(r)(E,1)/r! |
Ω |
0.14407343221929 |
Real period |
R |
12.331440438142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000195 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296bj2 60648bf2 |
Quadratic twists by: -4 -19 |