Atkin-Lehner |
3+ 7+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109263c |
Isogeny class |
Conductor |
109263 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-32451111 = -1 · 34 · 7 · 113 · 43 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,36,276] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:115:8] [4:20:1] |
Generators of the group modulo torsion |
j |
3869893/24381 |
j-invariant |
L |
5.0206230385077 |
L(r)(E,1)/r! |
Ω |
1.5060652543803 |
Real period |
R |
3.3336025933399 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001527 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109263g1 |
Quadratic twists by: -11 |