Atkin-Lehner |
3+ 5- 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
104025g |
Isogeny class |
Conductor |
104025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1478400 |
Modular degree for the optimal curve |
Δ |
-2408189349427126875 = -1 · 310 · 54 · 197 · 73 |
Discriminant |
Eigenvalues |
0 3+ 5- 0 -2 -6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,332467,-11522707] |
[a1,a2,a3,a4,a6] |
Generators |
[43:1688:1] |
Generators of the group modulo torsion |
j |
6502614711821926400/3853102959083403 |
j-invariant |
L |
1.9243176831731 |
L(r)(E,1)/r! |
Ω |
0.15104844404613 |
Real period |
R |
6.3698691712958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000150546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104025i1 |
Quadratic twists by: 5 |