Atkin-Lehner |
2- 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4650x |
Isogeny class |
Conductor |
4650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-116761500000000 = -1 · 28 · 35 · 59 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11687,-178969] |
[a1,a2,a3,a4,a6] |
j |
11298232190519/7472736000 |
j-invariant |
L |
2.6911072741504 |
L(r)(E,1)/r! |
Ω |
0.3363884092688 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37200de1 13950o1 930h1 |
Quadratic twists by: -4 -3 5 |