Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400bx |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-16071601392000000 = -1 · 210 · 34 · 56 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84008,11153988] |
[a1,a2,a3,a4,a6] |
Generators |
[142:-1452:1] |
Generators of the group modulo torsion |
j |
-4097989445764/1004475087 |
j-invariant |
L |
8.134472455038 |
L(r)(E,1)/r! |
Ω |
0.37333149331149 |
Real period |
R |
0.45393485203726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46200bw1 3696h1 |
Quadratic twists by: -4 5 |