Atkin-Lehner |
3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
13431d |
Isogeny class |
Conductor |
13431 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
22176 |
Modular degree for the optimal curve |
Δ |
-5781902097213 = -1 · 36 · 118 · 37 |
Discriminant |
Eigenvalues |
-1 3- 0 -4 11- 0 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2357,107174] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1568:1] |
Generators of the group modulo torsion |
j |
6755375/26973 |
j-invariant |
L |
2.8651667855158 |
L(r)(E,1)/r! |
Ω |
0.5410231257656 |
Real period |
R |
0.29421280708363 |
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 |
40293g1 13431c1 |
Quadratic twists by: -3 -11 |