Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
35574ba |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
163117190484293892 = 22 · 3 · 78 · 119 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11+ -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-243213,-41898188] |
[a1,a2,a3,a4,a6] |
Generators |
[-177208:560071:512] |
Generators of the group modulo torsion |
j |
5735339/588 |
j-invariant |
L |
3.5050884535018 |
L(r)(E,1)/r! |
Ω |
0.21640490131639 |
Real period |
R |
8.0984497859817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106722gc1 5082f1 35574cv1 |
Quadratic twists by: -3 -7 -11 |