Atkin-Lehner |
2+ 3- 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105450ba |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-123237108281250 = -1 · 2 · 310 · 57 · 192 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 5 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1624,533648] |
[a1,a2,a3,a4,a6] |
Generators |
[342:6241:1] |
Generators of the group modulo torsion |
j |
30342134159/7887174930 |
j-invariant |
L |
7.1579653281086 |
L(r)(E,1)/r! |
Ω |
0.45519887081861 |
Real period |
R |
0.19656148655171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999862078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21090h1 |
Quadratic twists by: 5 |