Atkin-Lehner |
2- 3+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116130bx |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-147355732562411520 = -1 · 224 · 33 · 5 · 77 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,9309,18469569] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:4242:1] |
Generators of the group modulo torsion |
j |
758301032159/1252503060480 |
j-invariant |
L |
8.6492248235838 |
L(r)(E,1)/r! |
Ω |
0.25520048927598 |
Real period |
R |
2.8243234733544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590bb1 |
Quadratic twists by: -7 |