Atkin-Lehner |
2- 3+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37950bt |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
35563234558500000 = 25 · 312 · 56 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11+ -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-114488,-11879719] |
[a1,a2,a3,a4,a6] |
j |
10621450496611513/2276047011744 |
j-invariant |
L |
2.634853761525 |
L(r)(E,1)/r! |
Ω |
0.2634853761521 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113850cb1 1518h1 |
Quadratic twists by: -3 5 |