Atkin-Lehner |
2- 3+ 5- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
100620b |
Isogeny class |
Conductor |
100620 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-6239995585200 = -1 · 24 · 33 · 52 · 132 · 434 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -6 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24012,-1437191] |
[a1,a2,a3,a4,a6] |
Generators |
[308:4515:1] |
Generators of the group modulo torsion |
j |
-3544255070650368/14444434225 |
j-invariant |
L |
6.2034984546836 |
L(r)(E,1)/r! |
Ω |
0.19171520201162 |
Real period |
R |
1.3482452061394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008599 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100620a1 |
Quadratic twists by: -3 |