Atkin-Lehner |
2+ 3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107310u |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
532480 |
Modular degree for the optimal curve |
Δ |
-3076792320000 = -1 · 216 · 3 · 54 · 73 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 -7 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-82527,-9160059] |
[a1,a2,a3,a4,a6] |
Generators |
[622:13129:1] |
Generators of the group modulo torsion |
j |
-181228288379569327/8970240000 |
j-invariant |
L |
3.8696023852856 |
L(r)(E,1)/r! |
Ω |
0.14083758503972 |
Real period |
R |
1.7172273125065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107310bk1 |
Quadratic twists by: -7 |