Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800br |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-1394620657920000 = -1 · 211 · 33 · 54 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -1 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-157208,24111312] |
[a1,a2,a3,a4,a6] |
Generators |
[82:3430:1] |
Generators of the group modulo torsion |
j |
-8318750/27 |
j-invariant |
L |
5.3971163484291 |
L(r)(E,1)/r! |
Ω |
0.48226298303584 |
Real period |
R |
0.93260256648848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400bz1 58800cn1 58800ec1 |
Quadratic twists by: -4 5 -7 |