Atkin-Lehner |
2- 3+ 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
70350cp |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-741275136000 = -1 · 212 · 32 · 53 · 74 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15673,749831] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:1242:1] [79:-152:1] |
Generators of the group modulo torsion |
j |
-3406213232422181/5930201088 |
j-invariant |
L |
13.033867411457 |
L(r)(E,1)/r! |
Ω |
0.90054743782758 |
Real period |
R |
0.30152648600331 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999234 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70350bn1 |
Quadratic twists by: 5 |