Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41552bf |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-61321986854912 = -1 · 212 · 710 · 53 |
Discriminant |
Eigenvalues |
2- -1 0 7- 0 -1 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27848,-1818704] |
[a1,a2,a3,a4,a6] |
Generators |
[4730:325066:1] |
Generators of the group modulo torsion |
j |
-4956477625/127253 |
j-invariant |
L |
4.3121300840084 |
L(r)(E,1)/r! |
Ω |
0.18450636998152 |
Real period |
R |
5.8427929675817 |
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 |
2597b1 5936p1 |
Quadratic twists by: -4 -7 |