Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800bo |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
-677376000000000 = -1 · 218 · 33 · 59 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16500,950000] |
[a1,a2,a3,a4,a6] |
Generators |
[4:1008:1] [14:1088:1] |
Generators of the group modulo torsion |
j |
35937/49 |
j-invariant |
L |
11.453906498305 |
L(r)(E,1)/r! |
Ω |
0.34427348254774 |
Real period |
R |
4.1587237610559 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000806 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800kn1 1575a1 100800bp1 100800ch1 |
Quadratic twists by: -4 8 -3 5 |