Atkin-Lehner |
3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
30135i |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1126390433959035 = -1 · 34 · 5 · 79 · 413 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 0 4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2203791,1259962031] |
[a1,a2,a3,a4,a6] |
Generators |
[861:-185:1] |
Generators of the group modulo torsion |
j |
-10061132871167082496/9574160715 |
j-invariant |
L |
3.7162551715432 |
L(r)(E,1)/r! |
Ω |
0.40966015354773 |
Real period |
R |
0.75596303003838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90405bl2 4305l2 |
Quadratic twists by: -3 -7 |