Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10656o |
Isogeny class |
Conductor |
10656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
58655635598979072 = 212 · 321 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -4 -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-688747980,-6957266201152] |
[a1,a2,a3,a4,a6] |
Generators |
[-4741124314995842658213140047410219503177153439621473302900:-977338643686500580072021457236208897164756907227315692:312904490049544650434684013576719587115477953092359375] |
Generators of the group modulo torsion |
j |
12100888248456939565096000/19643653683 |
j-invariant |
L |
4.9465270163996 |
L(r)(E,1)/r! |
Ω |
0.02947029411444 |
Real period |
R |
83.923950626197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10656p2 21312ce1 3552b2 |
Quadratic twists by: -4 8 -3 |