Atkin-Lehner |
3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24255m |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
175680 |
Modular degree for the optimal curve |
Δ |
21761993408203125 = 33 · 515 · 74 · 11 |
Discriminant |
Eigenvalues |
0 3+ 5- 7+ 11+ 5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-118482,-14001150] |
[a1,a2,a3,a4,a6] |
j |
2837428440956928/335693359375 |
j-invariant |
L |
2.5931656336654 |
L(r)(E,1)/r! |
Ω |
0.25931656336655 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
24255c2 121275c1 24255f1 |
Quadratic twists by: -3 5 -7 |