Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3822u |
Isogeny class |
Conductor |
3822 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
12240 |
Modular degree for the optimal curve |
Δ |
-34221110073696 = -1 · 25 · 317 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -1 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1415,-282787] |
[a1,a2,a3,a4,a6] |
j |
-6394640503489/698390001504 |
j-invariant |
L |
2.8986508508464 |
L(r)(E,1)/r! |
Ω |
0.28986508508464 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30576ct1 122304db1 11466v1 95550dp1 |
Quadratic twists by: -4 8 -3 5 |