Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67032t |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-8158229453875065264 = -1 · 24 · 36 · 710 · 195 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 1 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1627878,811156241] |
[a1,a2,a3,a4,a6] |
Generators |
[88:25857:1] |
Generators of the group modulo torsion |
j |
-144797599744/2476099 |
j-invariant |
L |
5.2105585519734 |
L(r)(E,1)/r! |
Ω |
0.23352389132136 |
Real period |
R |
5.5781857289778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000377 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7448s1 67032k1 |
Quadratic twists by: -3 -7 |