Atkin-Lehner |
2+ 3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37050t |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-27142446532500 = -1 · 22 · 34 · 54 · 135 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -5 13- -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4075,268225] |
[a1,a2,a3,a4,a6] |
Generators |
[-1320:16715:27] [-74:451:1] |
Generators of the group modulo torsion |
j |
-11978241015625/43427914452 |
j-invariant |
L |
5.5062643560625 |
L(r)(E,1)/r! |
Ω |
0.58350852019451 |
Real period |
R |
0.078637302991261 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111150fk1 37050ca1 |
Quadratic twists by: -3 5 |