Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
74400t |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-23064000 = -1 · 26 · 3 · 53 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -2 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-98,-408] |
[a1,a2,a3,a4,a6] |
Generators |
[102:1020:1] |
Generators of the group modulo torsion |
j |
-13144256/2883 |
j-invariant |
L |
5.2850256093406 |
L(r)(E,1)/r! |
Ω |
0.74927153475085 |
Real period |
R |
3.5267759173189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74400cv1 74400cy1 |
Quadratic twists by: -4 5 |