Atkin-Lehner |
2- 3+ 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370cy |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
350 |
Product of Tamagawa factors cp |
deg |
93408000 |
Modular degree for the optimal curve |
Δ |
-1.2718290209402E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2718836625,54567647990127] |
[a1,a2,a3,a4,a6] |
Generators |
[26655:1004528:1] |
Generators of the group modulo torsion |
j |
-6480058504834680172823820421207/370795632927170447278080 |
j-invariant |
L |
9.3396814070298 |
L(r)(E,1)/r! |
Ω |
0.055491233608269 |
Real period |
R |
0.48088323714586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999885042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104370dk1 |
Quadratic twists by: -7 |