Atkin-Lehner |
2- 3+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
77700l |
Isogeny class |
Conductor |
77700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
27072 |
Modular degree for the optimal curve |
Δ |
-124320000 = -1 · 28 · 3 · 54 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 1 3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-708,7512] |
[a1,a2,a3,a4,a6] |
Generators |
[17:10:1] |
Generators of the group modulo torsion |
j |
-245650000/777 |
j-invariant |
L |
6.437951554728 |
L(r)(E,1)/r! |
Ω |
1.8652140991332 |
Real period |
R |
1.1505295037356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987868 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77700p1 |
Quadratic twists by: 5 |