Atkin-Lehner |
2+ 3- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650bh |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1497600 |
Modular degree for the optimal curve |
Δ |
-8557605936000000000 = -1 · 213 · 34 · 59 · 115 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- -5 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,492849,45581698] |
[a1,a2,a3,a4,a6] |
Generators |
[572:-22974:1] |
Generators of the group modulo torsion |
j |
847318311153460511/547686779904000 |
j-invariant |
L |
5.6631274855973 |
L(r)(E,1)/r! |
Ω |
0.14494545078008 |
Real period |
R |
0.48838437619668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13530p1 |
Quadratic twists by: 5 |