Atkin-Lehner |
2+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24752m |
Isogeny class |
Conductor |
24752 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
6547200 |
Modular degree for the optimal curve |
Δ |
-4671638223616 = -1 · 28 · 75 · 13 · 174 |
Discriminant |
Eigenvalues |
2+ 2 1 7- 0 13- 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6393885505,-196784411642067] |
[a1,a2,a3,a4,a6] |
j |
-112921935191145358638804243137536/18248586811 |
j-invariant |
L |
4.2208347514774 |
L(r)(E,1)/r! |
Ω |
0.0084416695029549 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12376j1 99008cw1 |
Quadratic twists by: -4 8 |