Atkin-Lehner |
2+ 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
37950s |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-16938745312500 = -1 · 22 · 34 · 58 · 11 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- 4 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-33700,-2403500] |
[a1,a2,a3,a4,a6] |
j |
-10836112768105/43363188 |
j-invariant |
L |
2.1136722187363 |
L(r)(E,1)/r! |
Ω |
0.17613935156574 |
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 |
113850fl1 37950cu1 |
Quadratic twists by: -3 5 |