Atkin-Lehner |
2- 3+ 5- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
106950by |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1274880 |
Modular degree for the optimal curve |
Δ |
-14118463553580000 = -1 · 25 · 316 · 54 · 232 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 5 7 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,60362,339731] |
[a1,a2,a3,a4,a6] |
j |
38916529888559375/22589541685728 |
j-invariant |
L |
4.7648352943292 |
L(r)(E,1)/r! |
Ω |
0.23824176595835 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106950t1 |
Quadratic twists by: 5 |