Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
100920c |
Isogeny class |
Conductor |
100920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-842883840 = -1 · 28 · 33 · 5 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -5 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5761,170245] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-58:1] [-19:522:1] |
Generators of the group modulo torsion |
j |
-3387339776/135 |
j-invariant |
L |
8.4170644449427 |
L(r)(E,1)/r! |
Ω |
1.485963640745 |
Real period |
R |
0.70804764452394 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100920bm1 |
Quadratic twists by: 29 |