Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200hi |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
190356480000 = 213 · 37 · 54 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -3 -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3978075,-3053919350] |
[a1,a2,a3,a4,a6] |
Generators |
[-394975:90:343] |
Generators of the group modulo torsion |
j |
3730569358698025/102 |
j-invariant |
L |
6.3591815615772 |
L(r)(E,1)/r! |
Ω |
0.10690088804515 |
Real period |
R |
2.4786126968192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995881 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7650cp1 20400dr1 61200fa2 |
Quadratic twists by: -4 -3 5 |