Atkin-Lehner |
2+ 3+ 17- 103- |
Signs for the Atkin-Lehner involutions |
Class |
10506a |
Isogeny class |
Conductor |
10506 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27200 |
Modular degree for the optimal curve |
Δ |
-7584749715456 = -1 · 220 · 35 · 172 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -4 0 -5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3103,115893] |
[a1,a2,a3,a4,a6] |
Generators |
[34:495:1] |
Generators of the group modulo torsion |
j |
3302557089235559/7584749715456 |
j-invariant |
L |
2.2297274471684 |
L(r)(E,1)/r! |
Ω |
0.51609669075775 |
Real period |
R |
1.080091912571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84048v1 31518n1 |
Quadratic twists by: -4 -3 |