Atkin-Lehner |
2- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20350u |
Isogeny class |
Conductor |
20350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
-6741914300 = -1 · 22 · 52 · 113 · 373 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 11- 7 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1648,-26739] |
[a1,a2,a3,a4,a6] |
Generators |
[81:575:1] |
Generators of the group modulo torsion |
j |
-19800301163305/269676572 |
j-invariant |
L |
6.0822856762985 |
L(r)(E,1)/r! |
Ω |
0.3743492820119 |
Real period |
R |
2.707937020568 |
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 |
20350q1 |
Quadratic twists by: 5 |