Atkin-Lehner |
2- 3+ 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
102300m |
Isogeny class |
Conductor |
102300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
136800 |
Modular degree for the optimal curve |
Δ |
-517893750000 = -1 · 24 · 35 · 58 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ 2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,542,-34463] |
[a1,a2,a3,a4,a6] |
j |
2812160/82863 |
j-invariant |
L |
1.343350729185 |
L(r)(E,1)/r! |
Ω |
0.44778348113363 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102300v1 |
Quadratic twists by: 5 |