Atkin-Lehner |
2- 3- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
123600da |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
844800 |
Modular degree for the optimal curve |
Δ |
-3203712000000000 = -1 · 216 · 35 · 59 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -6 6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,36792,-182412] |
[a1,a2,a3,a4,a6] |
Generators |
[108:-2250:1] |
Generators of the group modulo torsion |
j |
688465387/400464 |
j-invariant |
L |
5.9233378252018 |
L(r)(E,1)/r! |
Ω |
0.2651221807444 |
Real period |
R |
1.1170958722323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999160372 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15450j1 123600bk1 |
Quadratic twists by: -4 5 |