Atkin-Lehner |
2- 7+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
15022c |
Isogeny class |
Conductor |
15022 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-6470137397248 = -1 · 214 · 73 · 292 · 372 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 0 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4431,-45335] |
[a1,a2,a3,a4,a6] |
Generators |
[42:443:1] |
Generators of the group modulo torsion |
j |
9621058080526703/6470137397248 |
j-invariant |
L |
3.5710062634324 |
L(r)(E,1)/r! |
Ω |
0.42690127911574 |
Real period |
R |
0.59749616231603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120176q1 105154j1 |
Quadratic twists by: -4 -7 |