Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800he |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-29393280000 = -1 · 210 · 38 · 54 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -5 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11100,450200] |
[a1,a2,a3,a4,a6] |
Generators |
[61:9:1] |
Generators of the group modulo torsion |
j |
-324179200/63 |
j-invariant |
L |
3.7426332057382 |
L(r)(E,1)/r! |
Ω |
1.1439831803356 |
Real period |
R |
1.6357903030336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800px1 12600bd1 33600bt1 100800ga1 |
Quadratic twists by: -4 8 -3 5 |