Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
40800p |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
91800000000 = 29 · 33 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -3 -4 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1208,-6588] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:50:1] |
Generators of the group modulo torsion |
j |
975560/459 |
j-invariant |
L |
3.5022378311628 |
L(r)(E,1)/r! |
Ω |
0.84771447036632 |
Real period |
R |
0.68856475334345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40800ca1 81600eu1 122400ea1 40800bo1 |
Quadratic twists by: -4 8 -3 5 |