Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
102960bc |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
180224 |
Modular degree for the optimal curve |
Δ |
-10656211737600 = -1 · 210 · 37 · 52 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14403,683602] |
[a1,a2,a3,a4,a6] |
Generators |
[59:-198:1] |
Generators of the group modulo torsion |
j |
-442644537604/14274975 |
j-invariant |
L |
7.0687936730694 |
L(r)(E,1)/r! |
Ω |
0.71758649454781 |
Real period |
R |
0.61567435746913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013753 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51480bk1 34320w1 |
Quadratic twists by: -4 -3 |