Atkin-Lehner |
2+ 7+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
7714a |
Isogeny class |
Conductor |
7714 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-201116805234688 = -1 · 218 · 7 · 194 · 292 |
Discriminant |
Eigenvalues |
2+ 0 -4 7+ 4 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,14056,229184] |
[a1,a2,a3,a4,a6] |
Generators |
[8176:735240:1] |
Generators of the group modulo torsion |
j |
307108316749948839/201116805234688 |
j-invariant |
L |
2.0856711445923 |
L(r)(E,1)/r! |
Ω |
0.35322855763805 |
Real period |
R |
2.9522968903458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61712l1 69426bm1 53998e1 |
Quadratic twists by: -4 -3 -7 |