Atkin-Lehner |
2- 5- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
102410ck |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-1855458849860 = -1 · 22 · 5 · 79 · 112 · 19 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 11+ -6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,603,-65439] |
[a1,a2,a3,a4,a6] |
Generators |
[79:-726:1] |
Generators of the group modulo torsion |
j |
206425071/15771140 |
j-invariant |
L |
5.8314045616139 |
L(r)(E,1)/r! |
Ω |
0.39708413490212 |
Real period |
R |
0.91784776149949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020688 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14630m1 |
Quadratic twists by: -7 |