Atkin-Lehner |
5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
10115f |
Isogeny class |
Conductor |
10115 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
110160 |
Modular degree for the optimal curve |
Δ |
1068162858153125 = 55 · 72 · 178 |
Discriminant |
Eigenvalues |
-2 2 5+ 7- 5 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-135926,19269832] |
[a1,a2,a3,a4,a6] |
Generators |
[193:433:1] |
Generators of the group modulo torsion |
j |
39814672384/153125 |
j-invariant |
L |
3.1910914840508 |
L(r)(E,1)/r! |
Ω |
0.49341032985273 |
Real period |
R |
1.0779032146203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91035bx1 50575k1 70805bs1 10115j1 |
Quadratic twists by: -3 5 -7 17 |