Atkin-Lehner |
2+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
99400i |
Isogeny class |
Conductor |
99400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1039360 |
Modular degree for the optimal curve |
Δ |
-13667011922144000 = -1 · 28 · 53 · 75 · 714 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ -5 -5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-307273,65697883] |
[a1,a2,a3,a4,a6] |
Generators |
[303:-710:1] |
Generators of the group modulo torsion |
j |
-100264767008328704/427094122567 |
j-invariant |
L |
4.5402016709877 |
L(r)(E,1)/r! |
Ω |
0.3990977247901 |
Real period |
R |
0.35550516277874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042447 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99400t1 |
Quadratic twists by: 5 |