Atkin-Lehner |
2+ 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
3552b |
Isogeny class |
Conductor |
3552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
114240 |
Modular degree for the optimal curve |
Δ |
487550200800128832 = 26 · 330 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 4 -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4783018,4027708300] |
[a1,a2,a3,a4,a6] |
Generators |
[-1298396:117281514:1331] |
Generators of the group modulo torsion |
j |
189081863882008469848000/7617971887502013 |
j-invariant |
L |
3.4021705531222 |
L(r)(E,1)/r! |
Ω |
0.27665415597169 |
Real period |
R |
12.297558087182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3552d1 7104z2 10656o1 88800cl1 |
Quadratic twists by: -4 8 -3 5 |