Atkin-Lehner |
2+ 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
20150i |
Isogeny class |
Conductor |
20150 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-9682075000000 = -1 · 26 · 58 · 13 · 313 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 -3 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1924,146298] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:311:1] [-7:367:1] |
Generators of the group modulo torsion |
j |
2017917095/24786112 |
j-invariant |
L |
4.3024967279326 |
L(r)(E,1)/r! |
Ω |
0.53692347074171 |
Real period |
R |
4.0066200886954 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
20150l1 |
Quadratic twists by: 5 |