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 |
15852482326593 = 34 · 119 · 83 |
Discriminant |
Eigenvalues |
-1 3+ 2 4 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-71291932,-231720452116] |
[a1,a2,a3,a4,a6] |
Generators |
[51436257752215623200430334544421249822372401231966:-20342703437409779471245613437701483154245958613298681:328700567422933824185018940948693350587358536] |
Generators of the group modulo torsion |
j |
22619799658992939699673/8948313 |
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 |
90387j4 2739d3 |
Quadratic twists by: -3 -11 |