Atkin-Lehner |
3- 5- 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68265m |
Isogeny class |
Conductor |
68265 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.2578584623647E+19 |
Discriminant |
Eigenvalues |
1 3- 5- 0 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3844494,-2905447775] |
[a1,a2,a3,a4,a6] |
Generators |
[22380336:3901913441:729] |
Generators of the group modulo torsion |
j |
-8620129885619625002209/17254574243685225 |
j-invariant |
L |
7.6025486861054 |
L(r)(E,1)/r! |
Ω |
0.053902345596276 |
Real period |
R |
11.753583574332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000375 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22755b2 |
Quadratic twists by: -3 |