Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488ey |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-3696357420266176512 = -1 · 214 · 35 · 78 · 115 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,342543,50895153] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:2904:1] |
Generators of the group modulo torsion |
j |
47061251888/39135393 |
j-invariant |
L |
7.0799361517065 |
L(r)(E,1)/r! |
Ω |
0.16114153155348 |
Real period |
R |
2.1968067668175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018455 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488ch1 25872ce1 103488is1 |
Quadratic twists by: -4 8 -7 |