Atkin-Lehner |
2- 3+ 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100050bk |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
1458729000000000000 = 212 · 37 · 512 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-693088,214065281] |
[a1,a2,a3,a4,a6] |
j |
2356507705137010489/93358656000000 |
j-invariant |
L |
3.201416060977 |
L(r)(E,1)/r! |
Ω |
0.26678468494408 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010k1 |
Quadratic twists by: 5 |