Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
108900b |
Isogeny class |
Conductor |
108900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-7234612233750000 = -1 · 24 · 33 · 57 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 6 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99825,-12810875] |
[a1,a2,a3,a4,a6] |
Generators |
[2420:117975:1] |
Generators of the group modulo torsion |
j |
-76032/5 |
j-invariant |
L |
6.7639902544137 |
L(r)(E,1)/r! |
Ω |
0.13378681218861 |
Real period |
R |
2.106582270546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108900a1 21780b1 108900c1 |
Quadratic twists by: -3 5 -11 |