Atkin-Lehner |
2+ 3- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
45990q |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-844873092000 = -1 · 25 · 310 · 53 · 72 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 6 -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,765,-43659] |
[a1,a2,a3,a4,a6] |
Generators |
[45:261:1] |
Generators of the group modulo torsion |
j |
67867385039/1158948000 |
j-invariant |
L |
3.804614401461 |
L(r)(E,1)/r! |
Ω |
0.43426636690649 |
Real period |
R |
2.1902538921971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999796 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15330bc1 |
Quadratic twists by: -3 |