Atkin-Lehner |
2+ 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28050bl |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1224000 |
Modular degree for the optimal curve |
Δ |
-4431271680000000000 = -1 · 217 · 32 · 510 · 113 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1385951,636013298] |
[a1,a2,a3,a4,a6] |
j |
-30148578968103025/453762220032 |
j-invariant |
L |
2.9511513988566 |
L(r)(E,1)/r! |
Ω |
0.24592928323798 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150ey1 28050cv1 |
Quadratic twists by: -3 5 |