Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200dq |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
37324800 |
Modular degree for the optimal curve |
Δ |
-1.482850692812E+24 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 11- -2 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-825152833,9123715913537] |
[a1,a2,a3,a4,a6] |
j |
-606773969327363726065/14480963796992 |
j-invariant |
L |
2.3605057836078 |
L(r)(E,1)/r! |
Ω |
0.078683489701334 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200gr1 3850y1 123200r1 |
Quadratic twists by: -4 8 5 |