Atkin-Lehner |
2+ 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101430bs |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-262906560 = -1 · 26 · 36 · 5 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-135,1021] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:41:1] [46:139:8] |
Generators of the group modulo torsion |
j |
-7649089/7360 |
j-invariant |
L |
8.1398594282404 |
L(r)(E,1)/r! |
Ω |
1.5915417317565 |
Real period |
R |
1.2786123143155 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11270r1 101430bx1 |
Quadratic twists by: -3 -7 |