Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2550n |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
5737500000 = 25 · 33 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -3 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7201,234548] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:86:1] |
Generators of the group modulo torsion |
j |
105695235625/14688 |
j-invariant |
L |
2.7500716405396 |
L(r)(E,1)/r! |
Ω |
1.3023724424344 |
Real period |
R |
2.1115861722314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
20400cl1 81600bp1 7650co1 2550u1 |
Quadratic twists by: -4 8 -3 5 |