Atkin-Lehner |
2- 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70642o |
Isogeny class |
Conductor |
70642 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
252092691123113984 = 212 · 11 · 138 · 193 |
Discriminant |
Eigenvalues |
2- 2 -2 -4 11- 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-218774,31016851] |
[a1,a2,a3,a4,a6] |
Generators |
[395:2337:1] |
Generators of the group modulo torsion |
j |
239911377605353/52227608576 |
j-invariant |
L |
10.346452317335 |
L(r)(E,1)/r! |
Ω |
0.29404361084561 |
Real period |
R |
2.9322329340191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000215 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5434c1 |
Quadratic twists by: 13 |