Atkin-Lehner |
2- 3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490bt |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
-141742837959544800 = -1 · 25 · 33 · 52 · 1111 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11- 7 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1114110,-453453285] |
[a1,a2,a3,a4,a6] |
j |
-86328032428786681/80010136800 |
j-invariant |
L |
2.9388228419618 |
L(r)(E,1)/r! |
Ω |
0.073470568849011 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7590f1 |
Quadratic twists by: -11 |