Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
120600ba |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
15095808 |
Modular degree for the optimal curve |
Δ |
-3027644631076320000 = -1 · 28 · 324 · 54 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 -6 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103702575,406473683650] |
[a1,a2,a3,a4,a6] |
Generators |
[5879:108:1] |
Generators of the group modulo torsion |
j |
-1057413430346007240400/25957172763 |
j-invariant |
L |
7.2353792716294 |
L(r)(E,1)/r! |
Ω |
0.18395129907222 |
Real period |
R |
3.2777603646297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999256108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40200bl1 120600cc1 |
Quadratic twists by: -3 5 |