Atkin-Lehner |
2- 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
31280bb |
Isogeny class |
Conductor |
31280 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-140054823680000000 = -1 · 214 · 57 · 17 · 235 |
Discriminant |
Eigenvalues |
2- -1 5- -2 -5 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-845800,300221552] |
[a1,a2,a3,a4,a6] |
Generators |
[394:-5290:1] [164:12880:1] |
Generators of the group modulo torsion |
j |
-16336812328827892201/34193072187500 |
j-invariant |
L |
6.9413186671774 |
L(r)(E,1)/r! |
Ω |
0.32764608654647 |
Real period |
R |
0.15132440049965 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910e1 125120bt1 |
Quadratic twists by: -4 8 |