Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13200bx |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-3179475763200000000 = -1 · 223 · 36 · 58 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ 5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,364792,-13091088] |
[a1,a2,a3,a4,a6] |
Generators |
[242:9450:1] |
Generators of the group modulo torsion |
j |
3355354844375/1987172352 |
j-invariant |
L |
3.7303383908445 |
L(r)(E,1)/r! |
Ω |
0.14762392592173 |
Real period |
R |
2.1057666000239 |
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 |
1650k1 52800hu1 39600fa1 13200cd1 |
Quadratic twists by: -4 8 -3 5 |