Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11840bi |
Isogeny class |
Conductor |
11840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-96993280 = -1 · 219 · 5 · 37 |
Discriminant |
Eigenvalues |
2- -2 5- 1 3 4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3425,-78305] |
[a1,a2,a3,a4,a6] |
Generators |
[183:2336:1] |
Generators of the group modulo torsion |
j |
-16954786009/370 |
j-invariant |
L |
3.9037656333836 |
L(r)(E,1)/r! |
Ω |
0.31202779361067 |
Real period |
R |
3.127738708955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11840k1 2960j1 106560eh1 59200cy1 |
Quadratic twists by: -4 8 -3 5 |