Atkin-Lehner |
2+ 3+ 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118320c |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-2658962764800 = -1 · 210 · 36 · 52 · 173 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 2 -5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-616,78880] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:170:1] [94:918:1] |
Generators of the group modulo torsion |
j |
-25285452196/2596643325 |
j-invariant |
L |
8.702434302064 |
L(r)(E,1)/r! |
Ω |
0.66502894152269 |
Real period |
R |
0.54524157769342 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990362 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59160g1 |
Quadratic twists by: -4 |