Atkin-Lehner |
2+ 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103360bd |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
5807687598080000 = 222 · 54 · 17 · 194 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 -4 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44972,-176336] |
[a1,a2,a3,a4,a6] |
Generators |
[-147:1805:1] |
Generators of the group modulo torsion |
j |
38371643079489/22154570000 |
j-invariant |
L |
4.1577135643216 |
L(r)(E,1)/r! |
Ω |
0.35788525574066 |
Real period |
R |
1.4521810721125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022425 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103360co1 3230e1 |
Quadratic twists by: -4 8 |