Atkin-Lehner |
2+ 5- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050bg |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
960925000000 = 26 · 58 · 7 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 1 5 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2326951,-1366439702] |
[a1,a2,a3,a4,a6] |
Generators |
[-2416862:1208759:2744] |
Generators of the group modulo torsion |
j |
3567180815608740745/2459968 |
j-invariant |
L |
5.8388636981844 |
L(r)(E,1)/r! |
Ω |
0.12223702387128 |
Real period |
R |
3.9805613581779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022361 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050cb1 |
Quadratic twists by: 5 |