Atkin-Lehner |
2+ 3- 5- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23970j |
Isogeny class |
Conductor |
23970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2383122821011965000 = 23 · 32 · 54 · 173 · 476 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1832518,-952076944] |
[a1,a2,a3,a4,a6] |
Generators |
[33230:1993081:8] |
Generators of the group modulo torsion |
j |
680562662876754705103321/2383122821011965000 |
j-invariant |
L |
4.0138478322631 |
L(r)(E,1)/r! |
Ω |
0.12978633530368 |
Real period |
R |
7.7316456753155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71910bd4 119850ca4 |
Quadratic twists by: -3 5 |