Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9702m |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
1514797112328192 = 215 · 36 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34407,1598589] |
[a1,a2,a3,a4,a6] |
Generators |
[37:594:1] |
Generators of the group modulo torsion |
j |
1071912625/360448 |
j-invariant |
L |
3.3692828111417 |
L(r)(E,1)/r! |
Ω |
0.43924054812356 |
Real period |
R |
2.5569002569969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616ei1 1078g1 9702v1 106722fo1 |
Quadratic twists by: -4 -3 -7 -11 |