Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69300be |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2799360 |
Modular degree for the optimal curve |
Δ |
-8.024668210303E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 7 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3879525,-2972552875] |
[a1,a2,a3,a4,a6] |
Generators |
[248074817767:36954609065217:11089567] |
Generators of the group modulo torsion |
j |
-35431687725461248/440311012911 |
j-invariant |
L |
6.229952956389 |
L(r)(E,1)/r! |
Ω |
0.053746924501393 |
Real period |
R |
19.318788979351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23100e1 2772k1 |
Quadratic twists by: -3 5 |