Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200hf |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
17132083200000000 = 217 · 39 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1036875,406336250] |
[a1,a2,a3,a4,a6] |
Generators |
[199:14418:1] |
Generators of the group modulo torsion |
j |
105695235625/14688 |
j-invariant |
L |
7.0080849359402 |
L(r)(E,1)/r! |
Ω |
0.37596254011232 |
Real period |
R |
4.6600952143873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7650co1 20400cl1 61200eq1 |
Quadratic twists by: -4 -3 5 |