Atkin-Lehner |
2- 3+ 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
70950be |
Isogeny class |
Conductor |
70950 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
39022500000000 = 28 · 3 · 510 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11463,-369219] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:312:1] |
Generators of the group modulo torsion |
j |
10661073346729/2497440000 |
j-invariant |
L |
8.7427955619331 |
L(r)(E,1)/r! |
Ω |
0.46920419322032 |
Real period |
R |
1.1645776625341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000532 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14190h1 |
Quadratic twists by: 5 |