Atkin-Lehner |
2- 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
107310db |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
4064256 |
Modular degree for the optimal curve |
Δ |
150496653092627520 = 26 · 37 · 5 · 79 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3819306,2872549476] |
[a1,a2,a3,a4,a6] |
Generators |
[1110:474:1] |
Generators of the group modulo torsion |
j |
52370756156362628881/1279200444480 |
j-invariant |
L |
11.7936696123 |
L(r)(E,1)/r! |
Ω |
0.30126369493845 |
Real period |
R |
0.46603965613568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944853 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330x1 |
Quadratic twists by: -7 |