Atkin-Lehner |
2+ 3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
107310k |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-16232032530 = -1 · 2 · 33 · 5 · 77 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -1 -5 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2083,36247] |
[a1,a2,a3,a4,a6] |
Generators |
[27:11:1] |
Generators of the group modulo torsion |
j |
-8502154921/137970 |
j-invariant |
L |
2.9023113202279 |
L(r)(E,1)/r! |
Ω |
1.2405092480853 |
Real period |
R |
0.58490319741466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15330o1 |
Quadratic twists by: -7 |