Atkin-Lehner |
2+ 5- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
102410bd |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
1280 |
Product of Tamagawa factors cp |
deg |
82575360 |
Modular degree for the optimal curve |
Δ |
-7.1263557849033E+27 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11- 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,413680612,2451200898906] |
[a1,a2,a3,a4,a6] |
Generators |
[59700:15459662:1] |
Generators of the group modulo torsion |
j |
66547382076648991230356951/60573024716770424320000 |
j-invariant |
L |
3.4050866583414 |
L(r)(E,1)/r! |
Ω |
0.02738528993809 |
Real period |
R |
0.38856246766725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999729246 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14630b1 |
Quadratic twists by: -7 |