Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200bt |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
172160640000000 = 213 · 38 · 57 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5738688008,167329302214512] |
[a1,a2,a3,a4,a6] |
Generators |
[27375173087607618:3340729328175:625904015464] |
Generators of the group modulo torsion |
j |
326573981641149886485204481/2690010 |
j-invariant |
L |
4.805323903459 |
L(r)(E,1)/r! |
Ω |
0.12766955880772 |
Real period |
R |
18.819380078529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000287 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6150n7 9840z7 |
Quadratic twists by: -4 5 |