Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550cd |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-9934848000 = -1 · 214 · 32 · 53 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1483,21881] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-138:1] |
Generators of the group modulo torsion |
j |
-2885728410053/79478784 |
j-invariant |
L |
5.8003713600299 |
L(r)(E,1)/r! |
Ω |
1.2859989217539 |
Real period |
R |
0.16108576492315 |
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 |
92400hx1 34650cd1 11550bf1 80850hm1 |
Quadratic twists by: -4 -3 5 -7 |