Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488du |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-160429598543993856 = -1 · 210 · 3 · 715 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11- 3 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-325425,-74115273] |
[a1,a2,a3,a4,a6] |
j |
-31636584484096/1331669031 |
j-invariant |
L |
4.9849177216572 |
L(r)(E,1)/r! |
Ω |
0.099698354211986 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488fh1 12936b1 14784g1 |
Quadratic twists by: -4 8 -7 |