Atkin-Lehner |
2+ 3+ 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850c |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-7823808000000 = -1 · 212 · 32 · 56 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-27175,-1740875] |
[a1,a2,a3,a4,a6] |
j |
-142048716869233/500723712 |
j-invariant |
L |
0.74352215214563 |
L(r)(E,1)/r! |
Ω |
0.18588033245321 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4794h1 |
Quadratic twists by: 5 |