Atkin-Lehner |
2+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
25550g |
Isogeny class |
Conductor |
25550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-1397265625000 = -1 · 23 · 511 · 72 · 73 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -2 -2 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49817,-4267659] |
[a1,a2,a3,a4,a6] |
Generators |
[365:4924:1] |
Generators of the group modulo torsion |
j |
-875066990644449/89425000 |
j-invariant |
L |
3.3418294722277 |
L(r)(E,1)/r! |
Ω |
0.15977988159969 |
Real period |
R |
5.2288020224603 |
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 |
5110d1 |
Quadratic twists by: 5 |