Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600gi |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
640535208480000 = 28 · 317 · 54 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -3 4 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-98400,-11818100] |
[a1,a2,a3,a4,a6] |
Generators |
[830:-21870:1] |
Generators of the group modulo torsion |
j |
903361331200/5491557 |
j-invariant |
L |
6.6834582884988 |
L(r)(E,1)/r! |
Ω |
0.26965582017455 |
Real period |
R |
1.0327143250725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012713 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27900p1 37200du1 111600es1 |
Quadratic twists by: -4 -3 5 |