Atkin-Lehner |
5- 11- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
103675be |
Isogeny class |
Conductor |
103675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
658560 |
Modular degree for the optimal curve |
Δ |
-16651456302820625 = -1 · 54 · 114 · 137 · 29 |
Discriminant |
Eigenvalues |
1 1 5- -3 11- 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-125126,18121573] |
[a1,a2,a3,a4,a6] |
Generators |
[433:6504:1] |
Generators of the group modulo torsion |
j |
-346642165807938025/26642330084513 |
j-invariant |
L |
6.610883871755 |
L(r)(E,1)/r! |
Ω |
0.38324683504179 |
Real period |
R |
4.3124190710738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103675v1 |
Quadratic twists by: 5 |