Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950dm |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
133632 |
Modular degree for the optimal curve |
Δ |
-25545782500 = -1 · 22 · 54 · 73 · 313 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -4 7 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2038,-36408] |
[a1,a2,a3,a4,a6] |
Generators |
[172:2084:1] |
Generators of the group modulo torsion |
j |
-4366921975/119164 |
j-invariant |
L |
7.7609320403031 |
L(r)(E,1)/r! |
Ω |
0.35470582356642 |
Real period |
R |
0.60777532050832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75950be1 75950dg1 |
Quadratic twists by: 5 -7 |