Atkin-Lehner |
2+ 3+ 5- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550v |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
969696 |
Modular degree for the optimal curve |
Δ |
28053808634880000 = 213 · 37 · 54 · 7 · 713 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 5 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-277900,-55924400] |
[a1,a2,a3,a4,a6] |
j |
3797622370026475225/44886093815808 |
j-invariant |
L |
0.62425030534991 |
L(r)(E,1)/r! |
Ω |
0.20808344738563 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550dj1 |
Quadratic twists by: 5 |