Atkin-Lehner |
2- 3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
120540bl |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
594000 |
Modular degree for the optimal curve |
Δ |
-2758999570614000 = -1 · 24 · 35 · 53 · 72 · 415 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 3 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68910,-7430067] |
[a1,a2,a3,a4,a6] |
Generators |
[321:1905:1] |
Generators of the group modulo torsion |
j |
-46159458083087104/3519132105375 |
j-invariant |
L |
9.2667142633514 |
L(r)(E,1)/r! |
Ω |
0.14669027911408 |
Real period |
R |
4.2114647860992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000096119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120540c1 |
Quadratic twists by: -7 |