Atkin-Lehner |
2- 3- 5- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830cq |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
12925440 |
Modular degree for the optimal curve |
Δ |
-2.6188119001607E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 2 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25844792,51174017691] |
[a1,a2,a3,a4,a6] |
Generators |
[311:-207921:1] |
Generators of the group modulo torsion |
j |
-2618878148262370248589369/35923345681216716000 |
j-invariant |
L |
12.777813198099 |
L(r)(E,1)/r! |
Ω |
0.11933309767179 |
Real period |
R |
0.44615357768993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999741409 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41610b1 |
Quadratic twists by: -3 |