Atkin-Lehner |
2+ 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70070j |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
230822632040000 = 26 · 54 · 79 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11- 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23888,1208768] |
[a1,a2,a3,a4,a6] |
Generators |
[-2877:44626:27] |
Generators of the group modulo torsion |
j |
37360194607/5720000 |
j-invariant |
L |
6.4112170630502 |
L(r)(E,1)/r! |
Ω |
0.53457049889351 |
Real period |
R |
5.9966057577013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998847 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70070ba1 |
Quadratic twists by: -7 |