Atkin-Lehner |
2+ 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
70070d |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4.2566407863405E+30 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11+ 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-455370872840,-118275669434499200] |
[a1,a2,a3,a4,a6] |
Generators |
[-5317973286531677253832134346643723223262915:-126833989960349229572328534751803108225805:13649746249384944523316893573738961669] |
Generators of the group modulo torsion |
j |
88762845566274919807374197327852361/36180849699874120000760000 |
j-invariant |
L |
2.9786576282182 |
L(r)(E,1)/r! |
Ω |
0.0058117677845371 |
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 |
10010k4 |
Quadratic twists by: -7 |