Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800fa |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-90979200000000 = -1 · 213 · 37 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 13+ -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7125,396250] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1800:1] [26:774:1] |
Generators of the group modulo torsion |
j |
34295/78 |
j-invariant |
L |
8.8571384230457 |
L(r)(E,1)/r! |
Ω |
0.4193729884411 |
Real period |
R |
0.439999051519 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5850bx1 15600cq1 46800ei1 |
Quadratic twists by: -4 -3 5 |