Atkin-Lehner |
2+ 3+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
107328l |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-8102992674816 = -1 · 229 · 33 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 1 2 -4 13- 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10465,-430751] |
[a1,a2,a3,a4,a6] |
Generators |
[188005:7271424:125] |
Generators of the group modulo torsion |
j |
-483551781049/30910464 |
j-invariant |
L |
6.1962993323913 |
L(r)(E,1)/r! |
Ω |
0.23514143418059 |
Real period |
R |
6.5878428711798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078836 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107328cg1 3354c1 |
Quadratic twists by: -4 8 |