Atkin-Lehner |
2- 3+ 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
93450ch |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
-13642041262500000 = -1 · 25 · 39 · 58 · 7 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,52237,-3212719] |
[a1,a2,a3,a4,a6] |
Generators |
[535:13082:1] |
Generators of the group modulo torsion |
j |
40355045326895/34923625632 |
j-invariant |
L |
8.3996170582102 |
L(r)(E,1)/r! |
Ω |
0.21881020389308 |
Real period |
R |
1.279589480875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002285 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93450ba1 |
Quadratic twists by: 5 |