Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34200cc |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
3206250000 = 24 · 33 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 4 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-375,-625] |
[a1,a2,a3,a4,a6] |
Generators |
[25:75:1] |
Generators of the group modulo torsion |
j |
34560/19 |
j-invariant |
L |
6.7337515535842 |
L(r)(E,1)/r! |
Ω |
1.1601442372848 |
Real period |
R |
0.48368637688709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68400v1 34200k1 34200d1 |
Quadratic twists by: -4 -3 5 |