Atkin-Lehner |
2- 3+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550dk |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-31224619125000000 = -1 · 26 · 39 · 59 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,69820,4657447] |
[a1,a2,a3,a4,a6] |
Generators |
[619:16565:1] |
Generators of the group modulo torsion |
j |
979146657/812224 |
j-invariant |
L |
11.662282328989 |
L(r)(E,1)/r! |
Ω |
0.23980688604938 |
Real period |
R |
2.026332258945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025838 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550q1 116550y1 |
Quadratic twists by: -3 5 |