Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040cq |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1370880 |
Modular degree for the optimal curve |
Δ |
1.4922339581952E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11- -5 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2270000,-1177155648] |
[a1,a2,a3,a4,a6] |
j |
21571025211960961/2488320000000 |
j-invariant |
L |
1.7348991420477 |
L(r)(E,1)/r! |
Ω |
0.12392136728908 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3630y1 116160hy1 87120en1 29040cr1 |
Quadratic twists by: -4 8 -3 -11 |