Atkin-Lehner |
2+ 7+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
47656d |
Isogeny class |
Conductor |
47656 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-316234541056 = -1 · 211 · 73 · 233 · 37 |
Discriminant |
Eigenvalues |
2+ 2 1 7+ -2 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1240,32268] |
[a1,a2,a3,a4,a6] |
j |
-103040748722/154411397 |
j-invariant |
L |
2.6058120164509 |
L(r)(E,1)/r! |
Ω |
0.8686040054575 |
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 |
95312d1 |
Quadratic twists by: -4 |