Atkin-Lehner |
2- 3+ 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73950cf |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-64366080000000000 = -1 · 218 · 3 · 510 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-44213,-12738469] |
[a1,a2,a3,a4,a6] |
Generators |
[1519:57788:1] |
Generators of the group modulo torsion |
j |
-611722215487369/4119429120000 |
j-invariant |
L |
11.272497704893 |
L(r)(E,1)/r! |
Ω |
0.14638038998438 |
Real period |
R |
4.2782361262629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790g1 |
Quadratic twists by: 5 |