Atkin-Lehner |
2+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
43400c |
Isogeny class |
Conductor |
43400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1076320000000 = 211 · 57 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37075,-2747250] |
[a1,a2,a3,a4,a6] |
Generators |
[290:3300:1] [2482:31611:8] |
Generators of the group modulo torsion |
j |
176123461698/33635 |
j-invariant |
L |
9.1228799303846 |
L(r)(E,1)/r! |
Ω |
0.34406004490973 |
Real period |
R |
26.515371561899 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86800e2 8680h2 |
Quadratic twists by: -4 5 |