Atkin-Lehner |
2- 7- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
98294s |
Isogeny class |
Conductor |
98294 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-131467385176064 = -1 · 216 · 76 · 172 · 59 |
Discriminant |
Eigenvalues |
2- 3 3 7- 0 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9129,435439] |
[a1,a2,a3,a4,a6] |
j |
715236537807/1117454336 |
j-invariant |
L |
12.742531006987 |
L(r)(E,1)/r! |
Ω |
0.3982040812045 |
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 |
2006k1 |
Quadratic twists by: -7 |