Atkin-Lehner |
2- 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
77700q |
Isogeny class |
Conductor |
77700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-71872500000000 = -1 · 28 · 3 · 510 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4908,427188] |
[a1,a2,a3,a4,a6] |
Generators |
[1402:17853:8] |
Generators of the group modulo torsion |
j |
-3269383504/17968125 |
j-invariant |
L |
7.2065303458701 |
L(r)(E,1)/r! |
Ω |
0.53204771446333 |
Real period |
R |
6.7724474233478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15540e2 |
Quadratic twists by: 5 |