Atkin-Lehner |
2+ 3- 7- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378r |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-916624530332614656 = -1 · 215 · 314 · 73 · 172 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 2 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,131166,42246036] |
[a1,a2,a3,a4,a6] |
j |
342340393271581151/1257372469592064 |
j-invariant |
L |
2.3856625774377 |
L(r)(E,1)/r! |
Ω |
0.19880530431883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42126bb1 |
Quadratic twists by: -3 |