Atkin-Lehner |
2+ 5- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
102410w |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-8420602391764640 = -1 · 25 · 5 · 78 · 113 · 193 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 11- -5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-95722,-12264076] |
[a1,a2,a3,a4,a6] |
j |
-824475687475609/71573939360 |
j-invariant |
L |
0.81025167779124 |
L(r)(E,1)/r! |
Ω |
0.13504200269121 |
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 |
14630f1 |
Quadratic twists by: -7 |