Atkin-Lehner |
3+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30135k |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-6593270551875 = -1 · 37 · 54 · 76 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- -1 4 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,3855,81038] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:122:1] |
Generators of the group modulo torsion |
j |
53838872576/56041875 |
j-invariant |
L |
4.4188872092771 |
L(r)(E,1)/r! |
Ω |
0.49617667432906 |
Real period |
R |
1.1132343170032 |
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 |
90405v1 615b1 |
Quadratic twists by: -3 -7 |