Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
2350h |
Isogeny class |
Conductor |
2350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1200 |
Modular degree for the optimal curve |
Δ |
-1725781250 = -1 · 2 · 58 · 472 |
Discriminant |
Eigenvalues |
2+ -1 5- -4 1 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,300,250] |
[a1,a2,a3,a4,a6] |
Generators |
[1:23:1] |
Generators of the group modulo torsion |
j |
7604375/4418 |
j-invariant |
L |
1.7516772741406 |
L(r)(E,1)/r! |
Ω |
0.89850860564657 |
Real period |
R |
0.9747693361713 |
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 |
18800bj1 75200bv1 21150ci1 2350j1 |
Quadratic twists by: -4 8 -3 5 |