Atkin-Lehner |
2- 3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
10650ba |
Isogeny class |
Conductor |
10650 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
6816000000000 = 214 · 3 · 59 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 4 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5888,-122719] |
[a1,a2,a3,a4,a6] |
j |
11558505581/3489792 |
j-invariant |
L |
3.9043492592326 |
L(r)(E,1)/r! |
Ω |
0.55776417989038 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85200ds1 31950bi1 10650q1 |
Quadratic twists by: -4 -3 5 |