Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800pi |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-120530818800000000 = -1 · 210 · 316 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 1 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61500,17705000] |
[a1,a2,a3,a4,a6] |
Generators |
[216469:100714797:1] |
Generators of the group modulo torsion |
j |
-88218880/413343 |
j-invariant |
L |
6.4387397504483 |
L(r)(E,1)/r! |
Ω |
0.2877719380831 |
Real period |
R |
11.187226549814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028606 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800gi1 25200cg1 33600fu1 100800lg1 |
Quadratic twists by: -4 8 -3 5 |