Atkin-Lehner |
2+ 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304h |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-268930040871518208 = -1 · 218 · 34 · 78 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 5 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,62655,-24230079] |
[a1,a2,a3,a4,a6] |
j |
17999471/177957 |
j-invariant |
L |
1.835203759768 |
L(r)(E,1)/r! |
Ω |
0.15293363236933 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304gu1 1911d1 122304dw1 |
Quadratic twists by: -4 8 -7 |