Atkin-Lehner |
2- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101200bx |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-21927854080000000 = -1 · 221 · 57 · 11 · 233 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 11- -2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-70408,10099188] |
[a1,a2,a3,a4,a6] |
Generators |
[-252:3450:1] [254:2944:1] |
Generators of the group modulo torsion |
j |
-603136942849/342622720 |
j-invariant |
L |
7.9389374361742 |
L(r)(E,1)/r! |
Ω |
0.35426698408351 |
Real period |
R |
0.93372816171255 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12650c1 20240p1 |
Quadratic twists by: -4 5 |