Atkin-Lehner |
2- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
25550q |
Isogeny class |
Conductor |
25550 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
526848 |
Modular degree for the optimal curve |
Δ |
-1752730000000 = -1 · 27 · 57 · 74 · 73 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -4 4 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7615313,8085546031] |
[a1,a2,a3,a4,a6] |
Generators |
[1595:-648:1] |
Generators of the group modulo torsion |
j |
-3125841581804401744201/112174720 |
j-invariant |
L |
10.98344409794 |
L(r)(E,1)/r! |
Ω |
0.44779224336416 |
Real period |
R |
0.43799983860117 |
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 |
5110b1 |
Quadratic twists by: 5 |