Atkin-Lehner |
2- 5- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
10030l |
Isogeny class |
Conductor |
10030 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
2564352 |
Modular degree for the optimal curve |
Δ |
6.6627378787226E+25 |
Discriminant |
Eigenvalues |
2- 0 5- -4 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-108741832,-190409385461] |
[a1,a2,a3,a4,a6] |
j |
142204599831017182780352090961/66627378787225960448000000 |
j-invariant |
L |
2.0548766249137 |
L(r)(E,1)/r! |
Ω |
0.048925633926516 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
80240u1 90270h1 50150b1 |
Quadratic twists by: -4 -3 5 |