Atkin-Lehner |
3+ 5+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
35805a |
Isogeny class |
Conductor |
35805 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3292800272685 = 33 · 5 · 74 · 11 · 314 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8901,-314922] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:123:1] |
Generators of the group modulo torsion |
j |
77990762201719249/3292800272685 |
j-invariant |
L |
1.9815009925552 |
L(r)(E,1)/r! |
Ω |
0.49279966995526 |
Real period |
R |
2.0104528405369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107415t4 |
Quadratic twists by: -3 |