Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650o |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
10103940000000 = 28 · 38 · 57 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17442,877716] |
[a1,a2,a3,a4,a6] |
Generators |
[99:288:1] |
Generators of the group modulo torsion |
j |
51520374361/887040 |
j-invariant |
L |
4.2439421198992 |
L(r)(E,1)/r! |
Ω |
0.72518810026838 |
Real period |
R |
0.73152436559704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550ce1 6930bb1 |
Quadratic twists by: -3 5 |