Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
127050ca |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
10695650726376000 = 26 · 34 · 53 · 7 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-60865,2915125] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:2935:1] |
Generators of the group modulo torsion |
j |
84604519/36288 |
j-invariant |
L |
4.1216825948959 |
L(r)(E,1)/r! |
Ω |
0.36571382452392 |
Real period |
R |
2.8175599573682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000202727 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127050il1 127050gk1 |
Quadratic twists by: 5 -11 |