Atkin-Lehner |
2+ 3- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35496b |
Isogeny class |
Conductor |
35496 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-7470745266212877312 = -1 · 210 · 36 · 177 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 4 -3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-899715,-353823154] |
[a1,a2,a3,a4,a6] |
Generators |
[25495:4067964:1] |
Generators of the group modulo torsion |
j |
-107897432486570500/10007749895797 |
j-invariant |
L |
6.8488177419793 |
L(r)(E,1)/r! |
Ω |
0.07710045867276 |
Real period |
R |
3.1724925876288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70992d1 3944a1 |
Quadratic twists by: -4 -3 |