Atkin-Lehner |
3+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
30129h |
Isogeny class |
Conductor |
30129 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1.3844194110596E+21 |
Discriminant |
Eigenvalues |
-1 3+ 2 4 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4305122,-3878084704] |
[a1,a2,a3,a4,a6] |
Generators |
[1232680753055864019243491492381437841921570047860:16509033612786945902199564300050060732816513089537:489982577678980877382702811575786067351795776] |
Generators of the group modulo torsion |
j |
-4981085505655507513/781468665803529 |
j-invariant |
L |
3.9918499438995 |
L(r)(E,1)/r! |
Ω |
0.051956448682573 |
Real period |
R |
76.830692726666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90387j3 2739d4 |
Quadratic twists by: -3 -11 |