Atkin-Lehner |
2+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
101150b |
Isogeny class |
Conductor |
101150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18579456 |
Modular degree for the optimal curve |
Δ |
-5.1202282841178E+24 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31845542,128992232116] |
[a1,a2,a3,a4,a6] |
Generators |
[146262344153701309:-66317492108549482331:203059001943433] |
Generators of the group modulo torsion |
j |
-9470133471933009/13576123187200 |
j-invariant |
L |
3.8700725024341 |
L(r)(E,1)/r! |
Ω |
0.06897160133311 |
Real period |
R |
28.055550651545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999819013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20230q1 5950c1 |
Quadratic twists by: 5 17 |