Atkin-Lehner |
2+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
25550h |
Isogeny class |
Conductor |
25550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-2616320000000 = -1 · 216 · 57 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -6 -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1750,-83500] |
[a1,a2,a3,a4,a6] |
Generators |
[220:3090:1] |
Generators of the group modulo torsion |
j |
-37966934881/167444480 |
j-invariant |
L |
1.9904819712098 |
L(r)(E,1)/r! |
Ω |
0.33520744369996 |
Real period |
R |
0.74225752165555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5110f1 |
Quadratic twists by: 5 |