Atkin-Lehner |
2+ 3+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
102414b |
Isogeny class |
Conductor |
102414 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-960982996104144 = -1 · 24 · 36 · 138 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 2 3 3 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8284,1516000] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:1069:1] |
Generators of the group modulo torsion |
j |
-77086633/1178064 |
j-invariant |
L |
6.2271477004174 |
L(r)(E,1)/r! |
Ω |
0.41886395004519 |
Real period |
R |
3.7166887149641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102414o1 |
Quadratic twists by: 13 |