Atkin-Lehner |
7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34307c |
Isogeny class |
Conductor |
34307 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-693023790154787 = -1 · 7 · 136 · 295 |
Discriminant |
Eigenvalues |
2 -1 4 7+ -2 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-363406,-84209591] |
[a1,a2,a3,a4,a6] |
Generators |
[19269388400523869041933124305143946320:-922991834011751457037251446320498204739:7842091490048336108329656119808000] |
Generators of the group modulo torsion |
j |
-1099616058781696/143578043 |
j-invariant |
L |
11.161962106867 |
L(r)(E,1)/r! |
Ω |
0.097222779728095 |
Real period |
R |
57.404047374925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
203a2 |
Quadratic twists by: 13 |