Atkin-Lehner |
2+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56056g |
Isogeny class |
Conductor |
56056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12982203458352128 = 210 · 79 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61168,-1983696] |
[a1,a2,a3,a4,a6] |
Generators |
[7221:25012:27] |
Generators of the group modulo torsion |
j |
612521500/314171 |
j-invariant |
L |
3.5857343388724 |
L(r)(E,1)/r! |
Ω |
0.32077894440101 |
Real period |
R |
5.5891048982964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112112e2 56056i2 |
Quadratic twists by: -4 -7 |