Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024q |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4582165633661952 = 210 · 34 · 79 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-490854184,-4185620828192] |
[a1,a2,a3,a4,a6] |
Generators |
[2429225935819419165:477478324403489809646:48487372844625] |
Generators of the group modulo torsion |
j |
108565792763559443208292/38034927 |
j-invariant |
L |
3.8812743541117 |
L(r)(E,1)/r! |
Ω |
0.032074613387573 |
Real period |
R |
30.251918457215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977365 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43512o4 12432l4 |
Quadratic twists by: -4 -7 |