Atkin-Lehner |
5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
425b |
Isogeny class |
Conductor |
425 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
60 |
Modular degree for the optimal curve |
Δ |
-6640625 = -1 · 58 · 17 |
Discriminant |
Eigenvalues |
1 -1 5- 1 -4 -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-75,250] |
[a1,a2,a3,a4,a6] |
Generators |
[10:20:1] |
Generators of the group modulo torsion |
j |
-121945/17 |
j-invariant |
L |
1.9443756342008 |
L(r)(E,1)/r! |
Ω |
2.2952233022335 |
Real period |
R |
0.28238002410031 |
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 |
6800w1 27200bj1 3825l1 425c1 |
Quadratic twists by: -4 8 -3 5 |