Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
74700u |
Isogeny class |
Conductor |
74700 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
118440 |
Modular degree for the optimal curve |
Δ |
-378168750000 = -1 · 24 · 36 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -4 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22500,-1299375] |
[a1,a2,a3,a4,a6] |
Generators |
[175:350:1] |
Generators of the group modulo torsion |
j |
-276480000/83 |
j-invariant |
L |
6.0007090726746 |
L(r)(E,1)/r! |
Ω |
0.19490191594891 |
Real period |
R |
3.4209281588181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000633 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8300g1 74700a1 |
Quadratic twists by: -3 5 |