Atkin-Lehner |
5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
50225j |
Isogeny class |
Conductor |
50225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-27466796875 = -1 · 59 · 73 · 41 |
Discriminant |
Eigenvalues |
0 2 5+ 7- -2 2 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3383,77293] |
[a1,a2,a3,a4,a6] |
Generators |
[37:37:1] |
Generators of the group modulo torsion |
j |
-799178752/5125 |
j-invariant |
L |
7.2947565662901 |
L(r)(E,1)/r! |
Ω |
1.1912953563297 |
Real period |
R |
1.5308455051738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10045l1 50225c1 |
Quadratic twists by: 5 -7 |