Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200cq |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
376000000000000000 = 218 · 515 · 47 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 3 3 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5681633,5210664863] |
[a1,a2,a3,a4,a6] |
Generators |
[1319:3616:1] |
Generators of the group modulo torsion |
j |
4952031207028849/91796875 |
j-invariant |
L |
8.3406349111349 |
L(r)(E,1)/r! |
Ω |
0.27708088454739 |
Real period |
R |
3.7627256943101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200g1 18800bb1 15040bg1 |
Quadratic twists by: -4 8 5 |