Atkin-Lehner |
2- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
27380f |
Isogeny class |
Conductor |
27380 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
324179200 = 28 · 52 · 373 |
Discriminant |
Eigenvalues |
2- -3 5- -1 -3 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-592,5476] |
[a1,a2,a3,a4,a6] |
Generators |
[444:-370:27] [-3:85:1] |
Generators of the group modulo torsion |
j |
1769472/25 |
j-invariant |
L |
5.3268252064329 |
L(r)(E,1)/r! |
Ω |
1.7200728398733 |
Real period |
R |
0.25807168757389 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109520bf1 27380b1 |
Quadratic twists by: -4 37 |