Atkin-Lehner |
2+ 3- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107310bf |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-4006993173120 = -1 · 27 · 36 · 5 · 76 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -4 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26339,-1650274] |
[a1,a2,a3,a4,a6] |
Generators |
[270:3172:1] |
Generators of the group modulo torsion |
j |
-17175508997401/34058880 |
j-invariant |
L |
5.17739457626 |
L(r)(E,1)/r! |
Ω |
0.18735707873512 |
Real period |
R |
2.3028195685891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018467 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2190c1 |
Quadratic twists by: -7 |