Atkin-Lehner |
2- 3- 5+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
102510t |
Isogeny class |
Conductor |
102510 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-14833124461566270 = -1 · 2 · 310 · 5 · 174 · 673 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -3 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1507,5859267] |
[a1,a2,a3,a4,a6] |
Generators |
[670:20163:8] |
Generators of the group modulo torsion |
j |
519524563319/20347221483630 |
j-invariant |
L |
7.9299650524182 |
L(r)(E,1)/r! |
Ω |
0.31180083095035 |
Real period |
R |
1.0596995843582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999865863 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34170b1 |
Quadratic twists by: -3 |