Atkin-Lehner |
2+ 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550q |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-44021029500000 = -1 · 25 · 311 · 56 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5075,346125] |
[a1,a2,a3,a4,a6] |
j |
-925434168625/2817345888 |
j-invariant |
L |
1.1265332762452 |
L(r)(E,1)/r! |
Ω |
0.56326663711658 |
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 |
2982h1 |
Quadratic twists by: 5 |