Atkin-Lehner |
2- 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
94800bs |
Isogeny class |
Conductor |
94800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-1348056000000000 = -1 · 212 · 33 · 59 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 2 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17592,1515312] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:1000:1] |
Generators of the group modulo torsion |
j |
9407293631/21063375 |
j-invariant |
L |
2.6851587550153 |
L(r)(E,1)/r! |
Ω |
0.33472667048511 |
Real period |
R |
1.0027430547415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009272 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5925e1 18960t1 |
Quadratic twists by: -4 5 |