Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800cf |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-53661715660800 = -1 · 223 · 39 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 13- 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4995,377730] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:648:1] |
Generators of the group modulo torsion |
j |
-6838155/26624 |
j-invariant |
L |
7.2019107195745 |
L(r)(E,1)/r! |
Ω |
0.55019453437191 |
Real period |
R |
3.2724383239253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5850d1 46800cg1 46800cp1 |
Quadratic twists by: -4 -3 5 |