Atkin-Lehner |
2- 3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570cb |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-45575650131701760 = -1 · 212 · 39 · 5 · 76 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,68060,7696037] |
[a1,a2,a3,a4,a6] |
j |
296354077829711/387386634240 |
j-invariant |
L |
2.9005927531842 |
L(r)(E,1)/r! |
Ω |
0.24171606277797 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
930n1 |
Quadratic twists by: -7 |