Atkin-Lehner |
2+ 3- 5+ 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
63630g |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9123840 |
Modular degree for the optimal curve |
Δ |
-1.1107155193216E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-110247165,-445554175419] |
[a1,a2,a3,a4,a6] |
Generators |
[699041952885599750970409802354:82674479755036975995966146056903:34045137343607522981579333] |
Generators of the group modulo torsion |
j |
-203281790492611004040069841/15236152528417587200 |
j-invariant |
L |
3.8160482818001 |
L(r)(E,1)/r! |
Ω |
0.023295699110012 |
Real period |
R |
40.952283335426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7070g1 |
Quadratic twists by: -3 |