Atkin-Lehner |
2- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
25550s |
Isogeny class |
Conductor |
25550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-31298750000 = -1 · 24 · 57 · 73 · 73 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 2 -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,495,-7503] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-190:1] |
Generators of the group modulo torsion |
j |
860085351/2003120 |
j-invariant |
L |
5.432392200372 |
L(r)(E,1)/r! |
Ω |
0.60685339864741 |
Real period |
R |
0.37298905389671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5110a1 |
Quadratic twists by: 5 |