Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800eg |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-200037600000000000 = -1 · 214 · 36 · 511 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -5 -5 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-370800,-89532000] |
[a1,a2,a3,a4,a6] |
j |
-30211716096/1071875 |
j-invariant |
L |
0.19306773645611 |
L(r)(E,1)/r! |
Ω |
0.096533982097757 |
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 |
100800oc1 12600p1 11200m1 20160cp1 |
Quadratic twists by: -4 8 -3 5 |