Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240bd |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1023590400 = 214 · 3 · 52 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1041,-12495] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:8:1] |
Generators of the group modulo torsion |
j |
7622072656/62475 |
j-invariant |
L |
3.7081443338943 |
L(r)(E,1)/r! |
Ω |
0.84084667846892 |
Real period |
R |
1.10250311459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016924 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240ij2 7140q2 |
Quadratic twists by: -4 8 |