Atkin-Lehner |
2- 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
122976u |
Isogeny class |
Conductor |
122976 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
50176 |
Modular degree for the optimal curve |
Δ |
-2024676864 = -1 · 29 · 33 · 74 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 2 -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,309,-562] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-98:1] |
Generators of the group modulo torsion |
j |
236029032/146461 |
j-invariant |
L |
9.8152255183261 |
L(r)(E,1)/r! |
Ω |
0.84956968298091 |
Real period |
R |
0.72207331122187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122976q1 122976f1 |
Quadratic twists by: -4 -3 |