Atkin-Lehner |
2- 3- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
65424l |
Isogeny class |
Conductor |
65424 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
360000 |
Modular degree for the optimal curve |
Δ |
-910794453650352 = -1 · 24 · 310 · 295 · 47 |
Discriminant |
Eigenvalues |
2- 3- 4 1 -3 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18001,-1730098] |
[a1,a2,a3,a4,a6] |
Generators |
[998:31230:1] |
Generators of the group modulo torsion |
j |
-40319742615568384/56924653353147 |
j-invariant |
L |
10.257652065082 |
L(r)(E,1)/r! |
Ω |
0.19602980821318 |
Real period |
R |
5.2327001481489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16356b1 |
Quadratic twists by: -4 |