Atkin-Lehner |
5+ 43- 61- |
Signs for the Atkin-Lehner involutions |
Class |
65575c |
Isogeny class |
Conductor |
65575 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
114240 |
Modular degree for the optimal curve |
Δ |
-6557622953125 = -1 · 56 · 432 · 613 |
Discriminant |
Eigenvalues |
-1 2 5+ 3 -3 -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3588,146906] |
[a1,a2,a3,a4,a6] |
Generators |
[24:262:1] |
Generators of the group modulo torsion |
j |
-326940373369/419687869 |
j-invariant |
L |
6.348848740011 |
L(r)(E,1)/r! |
Ω |
0.67807209165912 |
Real period |
R |
1.5605146850497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2623a1 |
Quadratic twists by: 5 |