Atkin-Lehner |
2+ 3- 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
43290m |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
7271057664000000 = 214 · 310 · 56 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 6 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-55305,-2854899] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:1389:1] |
Generators of the group modulo torsion |
j |
25662194421025681/9974016000000 |
j-invariant |
L |
4.1787347829805 |
L(r)(E,1)/r! |
Ω |
0.32178836079567 |
Real period |
R |
3.2464931085849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999917 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430bp1 |
Quadratic twists by: -3 |