Atkin-Lehner |
2+ 3+ 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10074d |
Isogeny class |
Conductor |
10074 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
67656984 = 23 · 3 · 232 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 2 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-682111,-217120115] |
[a1,a2,a3,a4,a6] |
Generators |
[1637867562:64108709231:830584] |
Generators of the group modulo torsion |
j |
35098605876753292793977/67656984 |
j-invariant |
L |
2.8058733481124 |
L(r)(E,1)/r! |
Ω |
0.16612527331836 |
Real period |
R |
16.890105232424 |
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 |
80592bc2 30222h2 |
Quadratic twists by: -4 -3 |