Atkin-Lehner |
3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
113715d |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
-615792710355795 = -1 · 39 · 5 · 7 · 197 |
Discriminant |
Eigenvalues |
2 3+ 5- 7+ 2 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9747,-1250053] |
[a1,a2,a3,a4,a6] |
Generators |
[6103370:107247561:17576] |
Generators of the group modulo torsion |
j |
-110592/665 |
j-invariant |
L |
15.273623604538 |
L(r)(E,1)/r! |
Ω |
0.21488610548402 |
Real period |
R |
8.8847202968929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040086 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113715a1 5985d1 |
Quadratic twists by: -3 -19 |