Atkin-Lehner |
2- 3+ 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550ca |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-87363281250000 = -1 · 24 · 32 · 513 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -5 -4 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12838,-723469] |
[a1,a2,a3,a4,a6] |
Generators |
[455:9147:1] |
Generators of the group modulo torsion |
j |
-14976071831449/5591250000 |
j-invariant |
L |
5.4011686871075 |
L(r)(E,1)/r! |
Ω |
0.22015861578537 |
Real period |
R |
0.76665871458239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005324 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910t1 |
Quadratic twists by: 5 |