Atkin-Lehner |
2- 5- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
55760ba |
Isogeny class |
Conductor |
55760 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
480000 |
Modular degree for the optimal curve |
Δ |
-977624931123200000 = -1 · 217 · 55 · 175 · 412 |
Discriminant |
Eigenvalues |
2- 1 5- 2 -2 -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37520,-47665900] |
[a1,a2,a3,a4,a6] |
Generators |
[2420:118490:1] |
Generators of the group modulo torsion |
j |
-1426145474814481/238677961700000 |
j-invariant |
L |
8.0273164061964 |
L(r)(E,1)/r! |
Ω |
0.12384694273132 |
Real period |
R |
0.64816427674102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6970h1 |
Quadratic twists by: -4 |