Atkin-Lehner |
3- 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
10065h |
Isogeny class |
Conductor |
10065 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18240 |
Modular degree for the optimal curve |
Δ |
-8372821875 = -1 · 3 · 55 · 114 · 61 |
Discriminant |
Eigenvalues |
2 3- 5+ -1 11+ -4 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9426,-355429] |
[a1,a2,a3,a4,a6] |
j |
-92630091209273344/8372821875 |
j-invariant |
L |
4.3606779177077 |
L(r)(E,1)/r! |
Ω |
0.2422598843171 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30195r1 50325b1 110715o1 |
Quadratic twists by: -3 5 -11 |