Atkin-Lehner |
2+ 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
14910s |
Isogeny class |
Conductor |
14910 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
1179360 |
Modular degree for the optimal curve |
Δ |
-98973836863856640 = -1 · 213 · 39 · 5 · 73 · 713 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-70510219,227884615862] |
[a1,a2,a3,a4,a6] |
j |
-38768579986086622574716800169/98973836863856640 |
j-invariant |
L |
1.9920910645001 |
L(r)(E,1)/r! |
Ω |
0.22134345161112 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
119280t1 44730cf1 74550bx1 104370w1 |
Quadratic twists by: -4 -3 5 -7 |