Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104w |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-63426779136 = -1 · 211 · 37 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -5 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-232,12116] |
[a1,a2,a3,a4,a6] |
Generators |
[20:126:1] [-22:84:1] |
Generators of the group modulo torsion |
j |
-2343314/107163 |
j-invariant |
L |
10.191499379356 |
L(r)(E,1)/r! |
Ω |
0.91717074836671 |
Real period |
R |
0.19842658595985 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48552l1 97104l1 |
Quadratic twists by: -4 17 |