Atkin-Lehner |
2+ 3- 5- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
108150bu |
Isogeny class |
Conductor |
108150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-238470750 = -1 · 2 · 33 · 53 · 73 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 4 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3231,70408] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-24:1] |
Generators of the group modulo torsion |
j |
-29828494719197/1907766 |
j-invariant |
L |
5.4014741531812 |
L(r)(E,1)/r! |
Ω |
1.6695278423029 |
Real period |
R |
0.53922172709548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062609 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108150cg1 |
Quadratic twists by: 5 |