Atkin-Lehner |
2- 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
62300d |
Isogeny class |
Conductor |
62300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-4927498243556000000 = -1 · 28 · 56 · 712 · 89 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80108,-107129288] |
[a1,a2,a3,a4,a6] |
Generators |
[11722487:472478384:6859] |
Generators of the group modulo torsion |
j |
-14213361750352/1231874560889 |
j-invariant |
L |
4.9417838348846 |
L(r)(E,1)/r! |
Ω |
0.10742720928034 |
Real period |
R |
7.6668717793719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2492c2 |
Quadratic twists by: 5 |