Atkin-Lehner |
2+ 3+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
62622i |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
131712 |
Modular degree for the optimal curve |
Δ |
-2166020209332 = -1 · 22 · 33 · 710 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- -2 0 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-450,-70792] |
[a1,a2,a3,a4,a6] |
Generators |
[74:508:1] |
Generators of the group modulo torsion |
j |
-1323/284 |
j-invariant |
L |
6.2975487818354 |
L(r)(E,1)/r! |
Ω |
0.36739961401368 |
Real period |
R |
4.2852173365685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62622bn1 62622b1 |
Quadratic twists by: -3 -7 |