Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40425z |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
1.8959908118724E+21 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 11- 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3309868,-990379482] |
[a1,a2,a3,a4,a6] |
Generators |
[877445:70888262:125] |
Generators of the group modulo torsion |
j |
1363413585016606720/644626239703677 |
j-invariant |
L |
2.1829128704528 |
L(r)(E,1)/r! |
Ω |
0.11722876354548 |
Real period |
R |
2.3276208035814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275dk1 40425dg2 5775v1 |
Quadratic twists by: -3 5 -7 |