Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304fo |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-825119564365824 = -1 · 219 · 3 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -1 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,18751,959841] |
[a1,a2,a3,a4,a6] |
Generators |
[30095:550172:125] |
Generators of the group modulo torsion |
j |
68921/78 |
j-invariant |
L |
7.2560363004502 |
L(r)(E,1)/r! |
Ω |
0.33406068967636 |
Real period |
R |
5.4301781512555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000092825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304dp1 30576de1 122304iq1 |
Quadratic twists by: -4 8 -7 |