Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736ci |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
-1.4596469914768E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 3 -2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17225760,-27518540128] |
[a1,a2,a3,a4,a6] |
j |
-47327266415721472000/1222082060283 |
j-invariant |
L |
2.0008662189046 |
L(r)(E,1)/r! |
Ω |
0.037053077785353 |
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 |
92736ds1 5796h1 30912h1 |
Quadratic twists by: -4 8 -3 |