Atkin-Lehner |
2+ 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150di |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1958400 |
Modular degree for the optimal curve |
Δ |
-206745411502080000 = -1 · 217 · 38 · 54 · 113 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ -5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-498942,-137279084] |
[a1,a2,a3,a4,a6] |
j |
-30148578968103025/453762220032 |
j-invariant |
L |
0.35894541354304 |
L(r)(E,1)/r! |
Ω |
0.089736369617398 |
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 |
28050cv1 84150ey1 |
Quadratic twists by: -3 5 |