Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576bv |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
698880 |
Modular degree for the optimal curve |
Δ |
-155936726466183936 = -1 · 28 · 314 · 73 · 135 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -2 13+ 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1934837,1036711929] |
[a1,a2,a3,a4,a6] |
Generators |
[713:4374:1] |
Generators of the group modulo torsion |
j |
-9122691795384795136/1775882908917 |
j-invariant |
L |
3.4411939896965 |
L(r)(E,1)/r! |
Ω |
0.31480501641302 |
Real period |
R |
1.3663989653446 |
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 |
7644f1 122304io1 91728em1 30576dd1 |
Quadratic twists by: -4 8 -3 -7 |