Atkin-Lehner |
2- 3+ 5- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
40290v |
Isogeny class |
Conductor |
40290 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-15410925000 = -1 · 23 · 33 · 55 · 172 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 4 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-215,6005] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:88:1] |
Generators of the group modulo torsion |
j |
-1099424306161/15410925000 |
j-invariant |
L |
7.9270735871189 |
L(r)(E,1)/r! |
Ω |
1.0529124277492 |
Real period |
R |
0.25095703999072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120870g1 |
Quadratic twists by: -3 |