Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690b |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-7.0813761666794E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3803265,2869923341] |
[a1,a2,a3,a4,a6] |
Generators |
[188331056363975:-15947251870147697:174958262857] |
Generators of the group modulo torsion |
j |
378827638483293/440926208000 |
j-invariant |
L |
3.873016568202 |
L(r)(E,1)/r! |
Ω |
0.088506527818097 |
Real period |
R |
21.879835664426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001095 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75690ba1 2610h1 |
Quadratic twists by: -3 29 |