Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600ia |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-8131898880000 = -1 · 212 · 33 · 54 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3267,117963] |
[a1,a2,a3,a4,a6] |
Generators |
[129:1644:1] |
Generators of the group modulo torsion |
j |
12800/27 |
j-invariant |
L |
10.355453729849 |
L(r)(E,1)/r! |
Ω |
0.5108632493193 |
Real period |
R |
3.3784167421374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003081 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600bz1 117600x1 2400x1 |
Quadratic twists by: -4 5 -7 |