Atkin-Lehner |
2+ 3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650o |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-71675206485019200 = -1 · 26 · 32 · 52 · 74 · 735 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -3 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-380880,-91546560] |
[a1,a2,a3,a4,a6] |
Generators |
[744:5760:1] |
Generators of the group modulo torsion |
j |
-244427457587246358385/2867008259400768 |
j-invariant |
L |
4.0223197636193 |
L(r)(E,1)/r! |
Ω |
0.096021606944524 |
Real period |
R |
0.52362169949766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005659 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76650di1 |
Quadratic twists by: 5 |