Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28050cd |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-103520278125000000 = -1 · 26 · 311 · 511 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- -5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,19437,-15436719] |
[a1,a2,a3,a4,a6] |
Generators |
[225:512:1] |
Generators of the group modulo torsion |
j |
51974460932759/6625297800000 |
j-invariant |
L |
6.9524725823324 |
L(r)(E,1)/r! |
Ω |
0.15878508091839 |
Real period |
R |
1.8243927951019 |
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 |
84150bo1 5610u1 |
Quadratic twists by: -3 5 |