Atkin-Lehner |
2+ 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25840o |
Isogeny class |
Conductor |
25840 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-1215665565040 = -1 · 24 · 5 · 17 · 197 |
Discriminant |
Eigenvalues |
2+ -2 5- 5 2 -5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3320,-91865] |
[a1,a2,a3,a4,a6] |
j |
-253016466094336/75979097815 |
j-invariant |
L |
2.1677794912804 |
L(r)(E,1)/r! |
Ω |
0.30968278446864 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12920o1 103360by1 129200g1 |
Quadratic twists by: -4 8 5 |