Atkin-Lehner |
2+ 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19530m |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
-1688412441875040000 = -1 · 28 · 310 · 54 · 78 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,179010,-55348844] |
[a1,a2,a3,a4,a6] |
Generators |
[348:6826:1] |
Generators of the group modulo torsion |
j |
870215264126076959/2316066449760000 |
j-invariant |
L |
3.9938655866673 |
L(r)(E,1)/r! |
Ω |
0.1368542893556 |
Real period |
R |
1.8239589006824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510r1 97650da1 |
Quadratic twists by: -3 5 |