Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230ct |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
328128528420 = 22 · 33 · 5 · 73 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12728,-548809] |
[a1,a2,a3,a4,a6] |
Generators |
[1919832:7184095:13824] |
Generators of the group modulo torsion |
j |
4767078987/6860 |
j-invariant |
L |
8.338677639573 |
L(r)(E,1)/r! |
Ω |
0.44952071607383 |
Real period |
R |
9.2750760313498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001283 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230i3 630a1 |
Quadratic twists by: -3 -11 |