Atkin-Lehner |
2+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35090i |
Isogeny class |
Conductor |
35090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-90420473440000 = -1 · 28 · 54 · 117 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15329,-858115] |
[a1,a2,a3,a4,a6] |
Generators |
[226:2567:1] |
Generators of the group modulo torsion |
j |
-224866629441/51040000 |
j-invariant |
L |
2.6367589476718 |
L(r)(E,1)/r! |
Ω |
0.21197189854258 |
Real period |
R |
3.1097977677707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3190d1 |
Quadratic twists by: -11 |