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 |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
335712715262060433 = 3 · 119 · 834 |
Discriminant |
Eigenvalues |
-1 3+ 2 4 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-287922,-52645746] |
[a1,a2,a3,a4,a6] |
Generators |
[-52359092377687440:-410569961379917982:166057577082125] |
Generators of the group modulo torsion |
j |
1490020510656313/189501075753 |
j-invariant |
L |
3.9918499438995 |
L(r)(E,1)/r! |
Ω |
0.20782579473029 |
Real period |
R |
19.207673181667 |
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 |
90387j1 2739d1 |
Quadratic twists by: -3 -11 |