Atkin-Lehner |
2+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28798k |
Isogeny class |
Conductor |
28798 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
1478400 |
Modular degree for the optimal curve |
Δ |
-3.6458572960167E+20 |
Discriminant |
Eigenvalues |
2+ 0 -3 7- 11- -7 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-568541,-933225067] |
[a1,a2,a3,a4,a6] |
Generators |
[2126:85331:1] [1279:20112:1] |
Generators of the group modulo torsion |
j |
-11472376678929153/205799139629776 |
j-invariant |
L |
5.082711920398 |
L(r)(E,1)/r! |
Ω |
0.073084669982786 |
Real period |
R |
0.2483768836492 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2618d1 |
Quadratic twists by: -11 |