Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
108300v |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
781958997277200 = 24 · 37 · 52 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -2 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28278,1250397] |
[a1,a2,a3,a4,a6] |
Generators |
[431:8303:1] |
Generators of the group modulo torsion |
j |
132893440/41553 |
j-invariant |
L |
4.6322799274869 |
L(r)(E,1)/r! |
Ω |
0.46641015625978 |
Real period |
R |
2.482943327383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999703197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108300cs1 5700l1 |
Quadratic twists by: 5 -19 |