Atkin-Lehner |
2- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
103360cj |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
1.9043809828536E+19 |
Discriminant |
Eigenvalues |
2- 0 5- 2 2 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4197932,3303893456] |
[a1,a2,a3,a4,a6] |
j |
31209728336698362849/72646369280000 |
j-invariant |
L |
1.7418661665823 |
L(r)(E,1)/r! |
Ω |
0.21773327729834 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103360s1 25840p1 |
Quadratic twists by: -4 8 |