Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
30600cs |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-2844193500000000 = -1 · 28 · 39 · 59 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15375,-2668750] |
[a1,a2,a3,a4,a6] |
Generators |
[209:1802:1] |
Generators of the group modulo torsion |
j |
-1102736/7803 |
j-invariant |
L |
5.2517891800515 |
L(r)(E,1)/r! |
Ω |
0.19012122183802 |
Real period |
R |
3.4529214632639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61200cm1 10200j1 30600y1 |
Quadratic twists by: -4 -3 5 |