Atkin-Lehner |
5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
605b |
Isogeny class |
Conductor |
605 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5358972025 = 52 · 118 |
Discriminant |
Eigenvalues |
-1 0 5- 0 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-507,-2494] |
[a1,a2,a3,a4,a6] |
Generators |
[26:24:1] |
Generators of the group modulo torsion |
j |
8120601/3025 |
j-invariant |
L |
1.463218542434 |
L(r)(E,1)/r! |
Ω |
1.0379669438299 |
Real period |
R |
2.8193933364293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9680w2 38720c2 5445e2 3025b2 |
Quadratic twists by: -4 8 -3 5 |