Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024ef |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
74478374743965696 = 220 · 32 · 78 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1083112,433308980] |
[a1,a2,a3,a4,a6] |
Generators |
[178376:5078115:512] |
Generators of the group modulo torsion |
j |
291605712526297/154554624 |
j-invariant |
L |
10.229550097113 |
L(r)(E,1)/r! |
Ω |
0.34035497649495 |
Real period |
R |
7.5138831558255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976202 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10878k2 12432bl2 |
Quadratic twists by: -4 -7 |