Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
61488bw |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-34425409536 = -1 · 212 · 39 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 4 -2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,501,-7814] |
[a1,a2,a3,a4,a6] |
Generators |
[23:126:1] |
Generators of the group modulo torsion |
j |
4657463/11529 |
j-invariant |
L |
4.5441368749403 |
L(r)(E,1)/r! |
Ω |
0.60045049006355 |
Real period |
R |
1.8919698416931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3843g1 20496bb1 |
Quadratic twists by: -4 -3 |