Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63162s |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-14918611752 = -1 · 23 · 312 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,423,4725] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:60:1] |
Generators of the group modulo torsion |
j |
94766375/169128 |
j-invariant |
L |
3.7720536425863 |
L(r)(E,1)/r! |
Ω |
0.85573049922616 |
Real period |
R |
2.2039962618655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21054be1 63162ci1 |
Quadratic twists by: -3 -11 |