Atkin-Lehner |
2- 5- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
121360v |
Isogeny class |
Conductor |
121360 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
203807129600000 = 220 · 55 · 37 · 412 |
Discriminant |
Eigenvalues |
2- 2 5- 2 4 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42040,-3231888] |
[a1,a2,a3,a4,a6] |
Generators |
[237:246:1] |
Generators of the group modulo torsion |
j |
2006144524069561/49757600000 |
j-invariant |
L |
13.402951571953 |
L(r)(E,1)/r! |
Ω |
0.33391790594791 |
Real period |
R |
4.0138462936692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059811 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15170f1 |
Quadratic twists by: -4 |