Atkin-Lehner |
2+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
119560h |
Isogeny class |
Conductor |
119560 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
8225280 |
Modular degree for the optimal curve |
Δ |
-1.5898545634616E+22 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -6 -3 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3869677,5312022478] |
[a1,a2,a3,a4,a6] |
Generators |
[18018:1276303:8] |
Generators of the group modulo torsion |
j |
26596817194679118/65984086015625 |
j-invariant |
L |
2.442085553869 |
L(r)(E,1)/r! |
Ω |
0.086617552503936 |
Real period |
R |
2.8193886927647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000297383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2440c1 |
Quadratic twists by: -7 |