Atkin-Lehner |
2- 37+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
31376b |
Isogeny class |
Conductor |
31376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
969600 |
Modular degree for the optimal curve |
Δ |
-75039982212481024 = -1 · 217 · 372 · 535 |
Discriminant |
Eigenvalues |
2- -2 3 -4 5 -2 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3300384,-2308920332] |
[a1,a2,a3,a4,a6] |
j |
-970638056074980108577/18320308157344 |
j-invariant |
L |
2.0161852756806 |
L(r)(E,1)/r! |
Ω |
0.056005146546734 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3922b1 125504j1 |
Quadratic twists by: -4 8 |