Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
714d |
Isogeny class |
Conductor |
714 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-616896 = -1 · 26 · 34 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -2 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21,45] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3:1] |
Generators of the group modulo torsion |
j |
-1102302937/616896 |
j-invariant |
L |
1.3951533217234 |
L(r)(E,1)/r! |
Ω |
2.6839654335726 |
Real period |
R |
0.51981046561628 |
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 |
5712s1 22848bm1 2142r1 17850br1 |
Quadratic twists by: -4 8 -3 5 |