Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400ev |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
167340096000000 = 212 · 32 · 56 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15608,-414288] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:300:1] [-94:462:1] |
Generators of the group modulo torsion |
j |
6570725617/2614689 |
j-invariant |
L |
9.8935823739842 |
L(r)(E,1)/r! |
Ω |
0.44203636415198 |
Real period |
R |
1.3988643210025 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996143 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5775n2 3696w2 |
Quadratic twists by: -4 5 |