Atkin-Lehner |
2- 5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
113230t |
Isogeny class |
Conductor |
113230 |
Conductor |
∏ cp |
462 |
Product of Tamagawa factors cp |
deg |
19987968 |
Modular degree for the optimal curve |
Δ |
-2.2886345041056E+22 |
Discriminant |
Eigenvalues |
2- 2 5- -1 5 13+ -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-55914245,-161115887093] |
[a1,a2,a3,a4,a6] |
Generators |
[22547:3157476:1] |
Generators of the group modulo torsion |
j |
-23699778625525514161/28056250000000 |
j-invariant |
L |
17.84193365209 |
L(r)(E,1)/r! |
Ω |
0.027603116490318 |
Real period |
R |
1.3990776714702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016639 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113230f1 |
Quadratic twists by: 13 |