Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
97104l |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1645056 |
Modular degree for the optimal curve |
Δ |
-1530968257842960384 = -1 · 211 · 37 · 72 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 5 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-67144,59928592] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:8092:1] |
Generators of the group modulo torsion |
j |
-2343314/107163 |
j-invariant |
L |
7.8251289314539 |
L(r)(E,1)/r! |
Ω |
0.22244658072016 |
Real period |
R |
1.4657318504598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48552s1 97104w1 |
Quadratic twists by: -4 17 |