Atkin-Lehner |
3+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
30129h |
Isogeny class |
Conductor |
30129 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
194585697785078721 = 32 · 1112 · 832 |
Discriminant |
Eigenvalues |
-1 3+ 2 4 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4455767,-3621988204] |
[a1,a2,a3,a4,a6] |
Generators |
[9716905783423231099832241:129416030272490633020071571:3850074377422082352577] |
Generators of the group modulo torsion |
j |
5522491110307729033/109838553561 |
j-invariant |
L |
3.9918499438995 |
L(r)(E,1)/r! |
Ω |
0.10391289736515 |
Real period |
R |
38.415346363333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90387j2 2739d2 |
Quadratic twists by: -3 -11 |