Atkin-Lehner |
2- 3- 5+ 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
107010u |
Isogeny class |
Conductor |
107010 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1234688 |
Modular degree for the optimal curve |
Δ |
-215926388166093750 = -1 · 2 · 319 · 57 · 29 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 5 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-203108,-41676019] |
[a1,a2,a3,a4,a6] |
Generators |
[6662567802739103050280288318:69540805181161424898482927909:11346734034080929053120104] |
Generators of the group modulo torsion |
j |
-1271086974466166521/296195319843750 |
j-invariant |
L |
10.044085518569 |
L(r)(E,1)/r! |
Ω |
0.11107174533845 |
Real period |
R |
45.214403933075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35670f1 |
Quadratic twists by: -3 |