Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350d |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
943488 |
Modular degree for the optimal curve |
Δ |
-1.4539762812199E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 3 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3585000,2617593750] |
[a1,a2,a3,a4,a6] |
Generators |
[875:11875:1] |
Generators of the group modulo torsion |
j |
-2365581049/6750 |
j-invariant |
L |
3.4467050232057 |
L(r)(E,1)/r! |
Ω |
0.2229378546012 |
Real period |
R |
3.8650962051412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050el1 5070u1 25350bz1 |
Quadratic twists by: -3 5 13 |