Atkin-Lehner |
2+ 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690n |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
231187770000 = 24 · 37 · 54 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4239,-102627] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:69:1] [-274:447:8] |
Generators of the group modulo torsion |
j |
11556972012529/317130000 |
j-invariant |
L |
6.3509679662007 |
L(r)(E,1)/r! |
Ω |
0.59266146542609 |
Real period |
R |
1.3395016245983 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230bc1 |
Quadratic twists by: -3 |