Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74100t |
Isogeny class |
Conductor |
74100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
267264 |
Modular degree for the optimal curve |
Δ |
-193322268750000 = -1 · 24 · 3 · 58 · 134 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26133,-1767012] |
[a1,a2,a3,a4,a6] |
Generators |
[63444:3068576:27] |
Generators of the group modulo torsion |
j |
-7895290740736/773289075 |
j-invariant |
L |
9.5520329874701 |
L(r)(E,1)/r! |
Ω |
0.18670830072857 |
Real period |
R |
8.5266990910074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987807 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14820e1 |
Quadratic twists by: 5 |