Atkin-Lehner |
2+ 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
70070d |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.0277104823786E+34 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11+ 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-60410896520,2978664545415936] |
[a1,a2,a3,a4,a6] |
Generators |
[330443734303474185715682036089596234723724613235:91220645052734476267862266492277211767038304711088:1256072178225224986810632719917289832236203] |
Generators of the group modulo torsion |
j |
207243689187073660850837150874441/87353949662012781559513782080 |
j-invariant |
L |
2.9786576282182 |
L(r)(E,1)/r! |
Ω |
0.011623535569074 |
Real period |
R |
64.065223756695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010k3 |
Quadratic twists by: -7 |