Atkin-Lehner |
2+ 3- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
107310bd |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-2653156477440 = -1 · 29 · 34 · 5 · 74 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 -3 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-50104,4313222] |
[a1,a2,a3,a4,a6] |
Generators |
[88:-811:1] |
Generators of the group modulo torsion |
j |
-5793436991923609/1105021440 |
j-invariant |
L |
5.2147209468346 |
L(r)(E,1)/r! |
Ω |
0.78579366619581 |
Real period |
R |
0.27651029714262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999968651 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107310y1 |
Quadratic twists by: -7 |