Atkin-Lehner |
2- 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
92778n |
Isogeny class |
Conductor |
92778 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
252018658028078424 = 23 · 33 · 72 · 478 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 2 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-124691469,-535975978389] |
[a1,a2,a3,a4,a6] |
Generators |
[11390568281948427:-17675732846872496666:4733169839] |
Generators of the group modulo torsion |
j |
19890549858062266993/23380056 |
j-invariant |
L |
7.88457690882 |
L(r)(E,1)/r! |
Ω |
0.045179390669724 |
Real period |
R |
29.086185826386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918387 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1974d2 |
Quadratic twists by: -47 |