Atkin-Lehner |
2+ 3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650n |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
-912671550 = -1 · 2 · 36 · 52 · 73 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -3 4 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-43801515,111560583555] |
[a1,a2,a3,a4,a6] |
Generators |
[1956168:-977895:512] |
Generators of the group modulo torsion |
j |
-371750118104675216968755745/36506862 |
j-invariant |
L |
4.1482973271657 |
L(r)(E,1)/r! |
Ω |
0.40878664103868 |
Real period |
R |
1.6913049950836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992591 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76650dh1 |
Quadratic twists by: 5 |