Atkin-Lehner |
2- 3+ 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
110838bt |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-37241568 = -1 · 25 · 32 · 73 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 13- -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-78,363] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:11:1] [-1:21:1] |
Generators of the group modulo torsion |
j |
-153130375/108576 |
j-invariant |
L |
14.66486665579 |
L(r)(E,1)/r! |
Ω |
1.8921954066872 |
Real period |
R |
0.38750930813835 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999983851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110838ca1 |
Quadratic twists by: -7 |