Atkin-Lehner |
3- 7- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
85701u |
Isogeny class |
Conductor |
85701 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
383040 |
Modular degree for the optimal curve |
Δ |
-70578458643 = -1 · 3 · 79 · 11 · 53 |
Discriminant |
Eigenvalues |
2 3- -4 7- 11+ -5 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-35100,2519465] |
[a1,a2,a3,a4,a6] |
Generators |
[15332:180043:64] |
Generators of the group modulo torsion |
j |
-118515478528/1749 |
j-invariant |
L |
10.153037281468 |
L(r)(E,1)/r! |
Ω |
1.0009764305523 |
Real period |
R |
5.0715666065877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000308 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85701f1 |
Quadratic twists by: -7 |