Atkin-Lehner |
3+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
4599b |
Isogeny class |
Conductor |
4599 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-676053 = -1 · 33 · 73 · 73 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- -4 -3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26,70] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:11:1] |
Generators of the group modulo torsion |
j |
-69426531/25039 |
j-invariant |
L |
1.9340975228225 |
L(r)(E,1)/r! |
Ω |
2.7017161987706 |
Real period |
R |
0.11931289721836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73584o1 4599a1 114975a1 32193b1 |
Quadratic twists by: -4 -3 5 -7 |