Atkin-Lehner |
2+ 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51150h |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-4955156250000 = -1 · 24 · 3 · 510 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 11- 0 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3425,-72875] |
[a1,a2,a3,a4,a6] |
Generators |
[26:173:1] |
Generators of the group modulo torsion |
j |
454786175/507408 |
j-invariant |
L |
3.1089874164435 |
L(r)(E,1)/r! |
Ω |
0.41460771859204 |
Real period |
R |
1.8746560164248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999504 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51150cv1 |
Quadratic twists by: 5 |