Atkin-Lehner |
2- 3+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74382x |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.5222925654096E+27 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-96892307,2444013875603] |
[a1,a2,a3,a4,a6] |
Generators |
[49746961491010507774258291899684280688979170614:-20199312995701517750108335550593139716534941883495:301569992881962883485635999615912099028296] |
Generators of the group modulo torsion |
j |
-855073332201294509246497/21439133060285771735058 |
j-invariant |
L |
10.133290063638 |
L(r)(E,1)/r! |
Ω |
0.038301619638067 |
Real period |
R |
66.141394021388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10626r6 |
Quadratic twists by: -7 |