Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
70080bl |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-828092707560000 = -1 · 26 · 36 · 54 · 734 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43436,-3734910] |
[a1,a2,a3,a4,a6] |
Generators |
[322797:35288054:27] |
Generators of the group modulo torsion |
j |
-141613028293992256/12938948555625 |
j-invariant |
L |
5.5128368885744 |
L(r)(E,1)/r! |
Ω |
0.16449483297287 |
Real period |
R |
8.3784347353462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70080ce1 35040q2 |
Quadratic twists by: -4 8 |