Atkin-Lehner |
2+ 3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
98880m |
Isogeny class |
Conductor |
98880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-10629147525120 = -1 · 220 · 39 · 5 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 0 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29025,1919457] |
[a1,a2,a3,a4,a6] |
Generators |
[137:704:1] |
Generators of the group modulo torsion |
j |
-10316097499609/40546980 |
j-invariant |
L |
6.3735078871992 |
L(r)(E,1)/r! |
Ω |
0.72457128548056 |
Real period |
R |
2.1990617134979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949763 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98880bv1 3090b1 |
Quadratic twists by: -4 8 |