Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968fz |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-376199642030800896 = -1 · 221 · 36 · 75 · 114 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 5 -8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151371,37211130] |
[a1,a2,a3,a4,a6] |
Generators |
[517:9856:1] |
Generators of the group modulo torsion |
j |
-8773917273/8605184 |
j-invariant |
L |
6.4276272741037 |
L(r)(E,1)/r! |
Ω |
0.27452020845442 |
Real period |
R |
0.39023401202437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998980768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15246bi1 13552bc1 121968em1 |
Quadratic twists by: -4 -3 -11 |