Atkin-Lehner |
2- 3- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
107310ds |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
-12466200983040000 = -1 · 212 · 34 · 54 · 77 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,16120,-5312448] |
[a1,a2,a3,a4,a6] |
j |
3937575558671/105960960000 |
j-invariant |
L |
9.2867079555547 |
L(r)(E,1)/r! |
Ω |
0.19347308860062 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15330r1 |
Quadratic twists by: -7 |