Atkin-Lehner |
2- 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36432ca |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
431326155887345664 = 231 · 38 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 3 11- 1 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-364467,78575218] |
[a1,a2,a3,a4,a6] |
j |
1793126264853169/144450256896 |
j-invariant |
L |
3.4924405121468 |
L(r)(E,1)/r! |
Ω |
0.29103670934617 |
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 |
4554i1 12144bf1 |
Quadratic twists by: -4 -3 |