Atkin-Lehner |
2- 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42900v |
Isogeny class |
Conductor |
42900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-9438000 = -1 · 24 · 3 · 53 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,47,-98] |
[a1,a2,a3,a4,a6] |
Generators |
[882:26180:1] |
Generators of the group modulo torsion |
j |
5619712/4719 |
j-invariant |
L |
6.0850432891249 |
L(r)(E,1)/r! |
Ω |
1.272555561429 |
Real period |
R |
4.7817505762108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128700bv1 42900br1 |
Quadratic twists by: -3 5 |