Atkin-Lehner |
2- 3- 5+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
102510p |
Isogeny class |
Conductor |
102510 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
334800 |
Modular degree for the optimal curve |
Δ |
-693500754510 = -1 · 2 · 36 · 5 · 175 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18293,-948549] |
[a1,a2,a3,a4,a6] |
j |
-928600107369481/951304190 |
j-invariant |
L |
1.0262275816632 |
L(r)(E,1)/r! |
Ω |
0.20524543323077 |
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 |
11390d1 |
Quadratic twists by: -3 |