Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488ei |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-144776538624098304 = -1 · 223 · 37 · 72 · 115 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11- 6 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-311649,-69526017] |
[a1,a2,a3,a4,a6] |
j |
-260607143968297/11270993184 |
j-invariant |
L |
7.0542968221822 |
L(r)(E,1)/r! |
Ω |
0.10077566729909 |
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 |
103488fq1 3234e1 103488j1 |
Quadratic twists by: -4 8 -7 |