Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9702d |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-1222869399715656 = -1 · 23 · 33 · 74 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 11- 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34701,-2994867] |
[a1,a2,a3,a4,a6] |
j |
-71285434106859/18863581528 |
j-invariant |
L |
1.035068702729 |
L(r)(E,1)/r! |
Ω |
0.17251145045483 |
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 |
77616cv1 9702bc2 9702l1 106722ei1 |
Quadratic twists by: -4 -3 -7 -11 |