Atkin-Lehner |
2+ 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
78144s |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-2.2955113508308E+24 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11- 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77794329,-273950372871] |
[a1,a2,a3,a4,a6] |
Generators |
[30325819256714373:4259075817317154372:1288979135387] |
Generators of the group modulo torsion |
j |
-12711815691958499017454272/560427575886434663451 |
j-invariant |
L |
4.8424082946048 |
L(r)(E,1)/r! |
Ω |
0.02535213531497 |
Real period |
R |
19.100593433495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002856 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144bf2 39072n1 |
Quadratic twists by: -4 8 |