Atkin-Lehner |
3- 5- 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
60705g |
Isogeny class |
Conductor |
60705 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-13697143620069375 = -1 · 38 · 54 · 196 · 71 |
Discriminant |
Eigenvalues |
1 3- 5- 2 2 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,54306,-2838425] |
[a1,a2,a3,a4,a6] |
Generators |
[2966:160517:1] |
Generators of the group modulo torsion |
j |
24296019709826591/18788948724375 |
j-invariant |
L |
9.4260961561552 |
L(r)(E,1)/r! |
Ω |
0.22131457294418 |
Real period |
R |
5.3239242399524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997212 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20235c1 |
Quadratic twists by: -3 |