Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3630l |
Isogeny class |
Conductor |
3630 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
628320 |
Modular degree for the optimal curve |
Δ |
6.454061238316E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11- 5 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17166878,-24498325744] |
[a1,a2,a3,a4,a6] |
j |
21571025211960961/2488320000000 |
j-invariant |
L |
2.6154588651272 |
L(r)(E,1)/r! |
Ω |
0.074727396146491 |
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 |
29040cr1 116160x1 10890bs1 18150cc1 |
Quadratic twists by: -4 8 -3 5 |