Atkin-Lehner |
2- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
106400cd |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
510932800 = 26 · 52 · 75 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -3 3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-698,7252] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-28:1] [8:46:1] |
Generators of the group modulo torsion |
j |
23539218880/319333 |
j-invariant |
L |
10.023176301902 |
L(r)(E,1)/r! |
Ω |
1.6565014612058 |
Real period |
R |
0.6050810419394 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000695 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106400bl1 106400x1 |
Quadratic twists by: -4 5 |