Atkin-Lehner |
2- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
83300bh |
Isogeny class |
Conductor |
83300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-116621924230000 = -1 · 24 · 54 · 79 · 172 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -3 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8575,-420175] |
[a1,a2,a3,a4,a6] |
Generators |
[49:343:1] |
Generators of the group modulo torsion |
j |
172800/289 |
j-invariant |
L |
5.332820762183 |
L(r)(E,1)/r! |
Ω |
0.31080221413872 |
Real period |
R |
1.4298538104569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83300h1 83300bc1 |
Quadratic twists by: 5 -7 |