Atkin-Lehner |
2+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121520r |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
443197900880 = 24 · 5 · 78 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3495,73970] |
[a1,a2,a3,a4,a6] |
Generators |
[143478354:1815485084:804357] |
Generators of the group modulo torsion |
j |
2508888064/235445 |
j-invariant |
L |
11.288860007269 |
L(r)(E,1)/r! |
Ω |
0.91456626074842 |
Real period |
R |
12.343403127816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999678906 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60760o1 17360k1 |
Quadratic twists by: -4 -7 |