Atkin-Lehner |
3+ 7+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
103341a |
Isogeny class |
Conductor |
103341 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
116928 |
Modular degree for the optimal curve |
Δ |
-1349534149299 = -1 · 32 · 78 · 19 · 372 |
Discriminant |
Eigenvalues |
0 3+ -1 7+ 0 -2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-13491,610238] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:808:1] [-16:906:1] |
Generators of the group modulo torsion |
j |
-47109013504/234099 |
j-invariant |
L |
7.7194828015445 |
L(r)(E,1)/r! |
Ω |
0.86099956985785 |
Real period |
R |
0.74714350152803 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000378 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103341t1 |
Quadratic twists by: -7 |