Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488dr |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
655360 |
Modular degree for the optimal curve |
Δ |
-8637236679278592 = -1 · 218 · 38 · 73 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,43167,2856447] |
[a1,a2,a3,a4,a6] |
Generators |
[93:2772:1] [-39:1056:1] |
Generators of the group modulo torsion |
j |
98931640625/96059601 |
j-invariant |
L |
13.620821093494 |
L(r)(E,1)/r! |
Ω |
0.27114789961228 |
Real period |
R |
0.78490495371594 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995536 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488fe1 1617d1 103488br1 |
Quadratic twists by: -4 8 -7 |