Atkin-Lehner |
2+ 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12760d |
Isogeny class |
Conductor |
12760 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
7040 |
Modular degree for the optimal curve |
Δ |
5088050000 = 24 · 55 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 11+ -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-935,10150] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:110:1] [-15:145:1] |
Generators of the group modulo torsion |
j |
5655916189696/318003125 |
j-invariant |
L |
4.8364771331308 |
L(r)(E,1)/r! |
Ω |
1.3433193694314 |
Real period |
R |
0.3600392611906 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25520g1 102080h1 114840ba1 63800h1 |
Quadratic twists by: -4 8 -3 5 |