Atkin-Lehner |
2+ 3+ 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107310i |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1710720 |
Modular degree for the optimal curve |
Δ |
-97826981765625000 = -1 · 23 · 36 · 59 · 76 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 6 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-88323,18088533] |
[a1,a2,a3,a4,a6] |
j |
-647686121198761/831515625000 |
j-invariant |
L |
1.2176560082041 |
L(r)(E,1)/r! |
Ω |
0.30441423095095 |
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 |
2190g1 |
Quadratic twists by: -7 |