Atkin-Lehner |
2+ 3- 5+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
84870c |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5.917565774304E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 2 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-154432980,-729313656624] |
[a1,a2,a3,a4,a6] |
Generators |
[-47022911911159041:554141532795962333:6277363000623] |
Generators of the group modulo torsion |
j |
558748462276183568490204481/8117374176000000000000 |
j-invariant |
L |
4.0127994783034 |
L(r)(E,1)/r! |
Ω |
0.042864388435054 |
Real period |
R |
23.404040164037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010317 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28290ba2 |
Quadratic twists by: -3 |