Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230j |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1372800 |
Modular degree for the optimal curve |
Δ |
-1883218875562110240 = -1 · 25 · 33 · 5 · 75 · 1110 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,304716,12873328] |
[a1,a2,a3,a4,a6] |
Generators |
[4550147:522237248:343] |
Generators of the group modulo torsion |
j |
4468050477/2689120 |
j-invariant |
L |
4.1523184833417 |
L(r)(E,1)/r! |
Ω |
0.16150416529968 |
Real period |
R |
12.855143625883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002722 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76230cu1 76230da1 |
Quadratic twists by: -3 -11 |