Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27888u |
Isogeny class |
Conductor |
27888 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
65028096 |
Modular degree for the optimal curve |
Δ |
-6.6327761757876E+30 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -3 2 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33598708080,2373703985055168] |
[a1,a2,a3,a4,a6] |
Generators |
[13986970:486495422:125] |
Generators of the group modulo torsion |
j |
-1024074375966668466862743896129521/1619330121041898938277298176 |
j-invariant |
L |
5.0861568609417 |
L(r)(E,1)/r! |
Ω |
0.023705785606082 |
Real period |
R |
6.7047936965925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3486k1 111552dl1 83664ce1 |
Quadratic twists by: -4 8 -3 |