Atkin-Lehner |
3- 7- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
116571i |
Isogeny class |
Conductor |
116571 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-30130672089063 = -1 · 3 · 78 · 134 · 61 |
Discriminant |
Eigenvalues |
1 3- -2 7- 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6393,-175619] |
[a1,a2,a3,a4,a6] |
Generators |
[53507684785179:-610311602023063:878942611539] |
Generators of the group modulo torsion |
j |
245667233447/256106487 |
j-invariant |
L |
8.2848719777365 |
L(r)(E,1)/r! |
Ω |
0.35850791008564 |
Real period |
R |
23.109314363817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999778542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16653f1 |
Quadratic twists by: -7 |