Atkin-Lehner |
2- 3- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
40848h |
Isogeny class |
Conductor |
40848 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-6161673631039488 = -1 · 228 · 36 · 23 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 2 4 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26368,4111796] |
[a1,a2,a3,a4,a6] |
Generators |
[236:3330:1] |
Generators of the group modulo torsion |
j |
-495007529082625/1504314851328 |
j-invariant |
L |
8.1821208574723 |
L(r)(E,1)/r! |
Ω |
0.37316404453997 |
Real period |
R |
1.8271948081965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5106c1 122544be1 |
Quadratic twists by: -4 -3 |