Atkin-Lehner |
2+ 7+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
7714b |
Isogeny class |
Conductor |
7714 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
-100544276 = -1 · 22 · 74 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ -1 -3 7+ 3 -3 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,116,116] |
[a1,a2,a3,a4,a6] |
Generators |
[2:18:1] [10:44:1] |
Generators of the group modulo torsion |
j |
170307838007/100544276 |
j-invariant |
L |
3.1207332457086 |
L(r)(E,1)/r! |
Ω |
1.1506452048664 |
Real period |
R |
0.33901992904834 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61712o1 69426bg1 53998f1 |
Quadratic twists by: -4 -3 -7 |