Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400en |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
843672984000000000 = 212 · 3 · 59 · 74 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-849408,298341312] |
[a1,a2,a3,a4,a6] |
j |
1058993490188089/13182390375 |
j-invariant |
L |
2.2612268298493 |
L(r)(E,1)/r! |
Ω |
0.28265335257103 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5775p3 18480cq3 |
Quadratic twists by: -4 5 |