Atkin-Lehner |
2- 3- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
37392t |
Isogeny class |
Conductor |
37392 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-41869467648 = -1 · 213 · 38 · 19 · 41 |
Discriminant |
Eigenvalues |
2- 3- -4 0 -3 -4 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5040,136404] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:504:1] [42:24:1] |
Generators of the group modulo torsion |
j |
-3457335616561/10222038 |
j-invariant |
L |
8.1527369425675 |
L(r)(E,1)/r! |
Ω |
1.1481038371238 |
Real period |
R |
0.22190765435779 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4674d1 112176bc1 |
Quadratic twists by: -4 -3 |