Atkin-Lehner |
2+ 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240cp |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-8022732480 = -1 · 26 · 36 · 5 · 7 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-565,-6545] |
[a1,a2,a3,a4,a6] |
j |
-312217698304/125355195 |
j-invariant |
L |
2.8802828526572 |
L(r)(E,1)/r! |
Ω |
0.48004722233121 |
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 |
114240km1 1785l1 |
Quadratic twists by: -4 8 |