Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22736j |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-29226331660868608 = -1 · 210 · 79 · 294 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 0 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-104288,15386960] |
[a1,a2,a3,a4,a6] |
j |
-1041220466500/242597383 |
j-invariant |
L |
2.8456878166465 |
L(r)(E,1)/r! |
Ω |
0.35571097708082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11368g1 90944eg1 3248b1 |
Quadratic twists by: -4 8 -7 |