Atkin-Lehner |
3+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
72675h |
Isogeny class |
Conductor |
72675 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
487680 |
Modular degree for the optimal curve |
Δ |
-25855121773258425 = -1 · 33 · 52 · 1710 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 3 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,37105,7221312] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:498:1] |
Generators of the group modulo torsion |
j |
8370053230707765/38303884108531 |
j-invariant |
L |
3.3440940637287 |
L(r)(E,1)/r! |
Ω |
0.26993589691033 |
Real period |
R |
0.61942374143285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72675d1 72675l1 |
Quadratic twists by: -3 5 |