Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520cn |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-1198420712640 = -1 · 26 · 317 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 3 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61482,-5867966] |
[a1,a2,a3,a4,a6] |
Generators |
[3009359635:218073417741:571787] |
Generators of the group modulo torsion |
j |
-550884013682176/25686315 |
j-invariant |
L |
4.9523796239761 |
L(r)(E,1)/r! |
Ω |
0.15159376783468 |
Real period |
R |
16.33437737059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004631 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83520ck1 41760bb1 27840bu1 |
Quadratic twists by: -4 8 -3 |