Atkin-Lehner |
2+ 3- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650bd |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-1655640000000000 = -1 · 212 · 34 · 510 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8224,1937198] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:1267:1] |
Generators of the group modulo torsion |
j |
3937575558671/105960960000 |
j-invariant |
L |
6.7597164493476 |
L(r)(E,1)/r! |
Ω |
0.35586591843766 |
Real period |
R |
2.3743902196144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992424 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330r1 |
Quadratic twists by: 5 |