Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400cg |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
21178980900000000 = 28 · 36 · 58 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2425508,-1454751012] |
[a1,a2,a3,a4,a6] |
Generators |
[120598:41877000:1] |
Generators of the group modulo torsion |
j |
394522733946559696/5294745225 |
j-invariant |
L |
8.3523941173813 |
L(r)(E,1)/r! |
Ω |
0.1209759974666 |
Real period |
R |
5.7534788419336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001881 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
46200ca2 18480q2 |
Quadratic twists by: -4 5 |