Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
23850cc |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
7129613165625000 = 23 · 316 · 58 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-503105,137417897] |
[a1,a2,a3,a4,a6] |
Generators |
[309:3220:1] |
Generators of the group modulo torsion |
j |
1236377943972289/625919400 |
j-invariant |
L |
8.2233536009727 |
L(r)(E,1)/r! |
Ω |
0.4135824332712 |
Real period |
R |
1.656935623033 |
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 |
7950s2 4770p2 |
Quadratic twists by: -3 5 |