Atkin-Lehner |
2- 3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107310cq |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-306338445242514720 = -1 · 25 · 315 · 5 · 73 · 733 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -1 5 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-575415,169861677] |
[a1,a2,a3,a4,a6] |
j |
-61428961894035943927/893115000707040 |
j-invariant |
L |
3.0732663832007 |
L(r)(E,1)/r! |
Ω |
0.30732668513784 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107310cz1 |
Quadratic twists by: -7 |