Atkin-Lehner |
3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
113715o |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
6609838956328125 = 314 · 57 · 72 · 192 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 5 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-156693,-23551227] |
[a1,a2,a3,a4,a6] |
Generators |
[480053884:8319297101:778688] |
Generators of the group modulo torsion |
j |
1616731009970176/25116328125 |
j-invariant |
L |
13.17233341754 |
L(r)(E,1)/r! |
Ω |
0.24018507060142 |
Real period |
R |
13.710608007816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006193 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37905u1 113715k1 |
Quadratic twists by: -3 -19 |