Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30800v |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-1509200000000 = -1 · 210 · 58 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- 11+ 2 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2875,-83750] |
[a1,a2,a3,a4,a6] |
Generators |
[75:350:1] |
Generators of the group modulo torsion |
j |
-6570180/3773 |
j-invariant |
L |
3.1481092760062 |
L(r)(E,1)/r! |
Ω |
0.31757903153357 |
Real period |
R |
0.55071318447434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15400u1 123200hz1 30800e1 |
Quadratic twists by: -4 8 5 |