Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
74592bt |
Isogeny class |
Conductor |
74592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-23491109376 = -1 · 29 · 311 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -2 4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4539,117934] |
[a1,a2,a3,a4,a6] |
Generators |
[53:162:1] |
Generators of the group modulo torsion |
j |
-27708101576/62937 |
j-invariant |
L |
4.3868648804868 |
L(r)(E,1)/r! |
Ω |
1.2029749809336 |
Real period |
R |
0.45583500807031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985156 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74592k1 24864n1 |
Quadratic twists by: -4 -3 |